I thought post delivery by courier was as and when, or maybe once a month to keep the system connected to the rest of the Imperium.
To be honest, I've never seen any kind of in depth analysis of how the assets of the IISS Communications Office are intended to be set up and deployed to run communications around the Third Imperium. We have scratch the surface references to how things work (XBoats and Tenders operate ON routes, while Scout/Couriers carry communications OFF routes to everywhere else) and the idea that systems with "heavy traffic" have multiple Tenders and XBoats running through them to turn over communication cycles faster out of places like high population worlds and/or subsector capitals (to name a couple of examples).
So if you look at the rimward region of the Lanth/Spinward Marches sector, you'll see a part of the map that looks like this to the IISS Communications Office.
The XBoats circulate between systems on the Express Network (white arrows) while the Scout/Couriers carry communications out to systems off the Express Network (yellow arrows). Interdicted systems do not receive "regular" Scout/Courier communications runs (so Asgard, Victoria and Ylaven "don't count" for this analysis of routine) and worlds with no population also do not receive "regular" Scout/Courier communications runs (meaning Tavonni on this map). The XBoats form the communications backbone and the Scout/Couriers disseminate those communications outwards from the Express Network to systems off the network.
Well ... that's the theory anyway.
So then, what kind of operational tempo (or flow bandwidth if you prefer) for these movements of starships would be a reasonable assumption to make?
Let's start with the legacy TL=10 J4 XBoats and Tenders.
Each Tender is capable of having up to 4 XBoats docked in its hangar bay at any given time, but the real limitation is that the onboard fuel tankage is only 150 tons, which is enough to refuel 3 XBoats for Jump-4 (40 tons each) outbound before the Tender itself needs to refuel in order to continue operations. Use of Scout/Couriers as makeshift tankers transporting fuel out to Tenders on station will help to increase the "uptime" of Tenders on station (especially if there is only 1 Tender for a single star system) by helping to "balance the load" of refueling the Tenders operating on station for XBoat recoveries (which could happen at ANY time due to the variable duration of jumps from 150-175 hours). So pulling a Tender off station for refueling is a least desirable option if there are no other Tenders available to sustain operations.
Ideally speaking, you would want to have 2+ Tenders (with 3 or more being better for rotations on station) in order to have continuous coverage of a Tender always being on station ready to handle incoming and outgoing XBoat traffic at all times (because they don't arrive at predictably regular intervals like a
Just In Time logistics operation due to variables in jump durations).
So each Tender can "house" up to 4 XBoats in their hangar bay (usually for maintenance work) but in terms of the Express Network itself, each Tender can be "home base" for more than 4 XBoats.
Consider that the D'Ganzio to Ivendo "loop" run (shown above) will involve 150-175 hours in jump (one way). After breakout from jump, the XBoat transmits its communications to the Tender and awaits pickup, followed by the Tender at Ivendo needing to maneuver to dock with the XBoat from D'Ganzio (presume multiple hours at 1G by the Tender). The safer assumption to make is that the Tender brings the XBoat onboard for routine maintenance checks after a jump (16 hours) during which the Tender's engineering staff verify and sign off on the XBoat being fit for launch and return to D'Ganzio. So figure a good 24 hours after breakout from jump into the Ivendo system, the XBoat from D'Ganzio will be ready for launch (new pilot optional) for a return trip to D'Ganzio. The D'Ganzio XBoat is launched into space a readied for departure to D'Ganzio by its pilot.
So then, what would be the triggering event for dispatching the XBoat from D'Ganzio back to D'Ganzio?
Answer ... an XBoat arriving at Ivendo from either Equus or Icetina (1 parsec trailing, or in my opinion also Resten and Fosey 4 parsecs rimward) with communications bound for D'Ganzio and further down the Express Network (Lanth, Vilis subsector, Regina subsector, Jewell subsector, you get the idea). An incoming XBoat from either Equus or Icetina (or Resten or Fosey) could happen at any time, so the outbound to D'Ganzio XBoat is kept on standby ready for departure. Periodically, the Tender will maneuver to use their external probe to "top up" the XBoat's reserves (mainly fuel and life support) while waiting for an incoming XBoat without needing to bring the XBoat onboard into the hangar bay.
Once an XBoat breaks out of jump from either Equus or Icetina (or Resten or Fosey) and transmits their communications data to the Tender, the communications specialist onboard the Tender consolidates all communications bound for D'Ganzio and uploads the communications data to the XBoat on standby waiting for departure clearance to jump to D'Ganzio. The XBoat pilot jumps once clearance is granted, spends 150-175 hours in jump (one way) and after breakout from jump transmits communications to the Tender at D'Ganzio before awaiting pickup by the Tender maneuvering to dock.
Using this very simplistic scenario of "holding" departing XBoats until
the most up to date communications have been received for forwarding model of operations then dictates that although the communications themselves spend remarkably little time not being carried through jump space (baton hand off in 7 minutes to 4 hours) the XBoats themselves take longer to turn around on each end due to the maneuver for recovery, berth in the hangar bay, engineering routine maintenance, relaunch into space, wait for incoming XBoat before departure system of operations means that a single XBoat could take anywhere from 332-382 hours (13.83-15.92 days) just in jumpspace and receiving 16 hour routine maintenance per round trip, with the maneuvering time for the Tender to recover the XBoat not included. Add in maneuvering time of the Tender and recovery/launching of the XBoat and the turnaround time for a single XBoat making a round trip between 2 star systems can easily become 14.5-16.5 days per round trip (on average), a significant amount of variance ... before even accounting for the delay in waiting for another XBoat to breakout from jump for the "baton pass" of their communications along the Express Network. So an actual round trip time between 2 star systems for a single XBoat can easily turn into a 16-18 day average.
This in turn means that in order to have communications being received once per week (or less, preferably) as a matter of operational tempo, there needs to be
at least two and by strong preference
at least three XBoats on rotation between 2 star systems. With 3 XBoats assigned to making round trips (say, between D'Ganzio and Ivendo) communications updates can be received every 5-6 days (which for our purposes amounts to "once a week" in this discussion). Adding more XBoats will allow for more outbound/inbound jumps to occur, increasing the operational tempo ... such that with 4 XBoats in a rotation between 2 star systems, communications updates can be received every ~4 days instead of every 5-6 days. With 5 XBoats in the rotation between 2 star systems, communications updates can be received every ~3 days instead of every 5-6 days. There is, of course, going to be a "saturation limit" of how many XBoats can usefully be assigned to a round trip between 2 star systems due to the limitations of the logistics of recovery, engineering maintenance and launch by Tenders ... although adding more Tenders to a duty station helps alleviate those problems quite significantly.
My point here being that although a single Tender can only accommodate up to 4 XBoats inside their hangar bay ... that single Tender could be operated as a support and supply point for up to 10 XBoats on routine outbound/inbound round trips on a pair of legs of the Express Network (say, Lanth to D'Ganzio to Ivendo), possibly even more if there are more than 2 outbound systems to dispatch XBoats to (like Ivendo has to deal with). So it is in my opinion a mistake to assume that a single Tender ought to be responsible for no more than 4 XBoats per Tender ... mainly because those individual XBoats aren't going to be occupying the hangar space in the Tender for all that long (less than a day each per round trip for routine 16 hour maintenance after jumping).