You don't have 30 years. Efate has 4 years. Jewell has 5 years. Regina has 9 years. Vilis has 18. Entrope has 19.
That ... seems to be absurdly short notice of the impending disaster.
And that's the thing, in order for the Empress Wave to be a "surprise" in the Jewell, Regina and Vilis subsectors like you're stipulating here, there would have to be an absolute complete and total blackout on rumors, gossip and diplomatic information flowing into the Spinward Marches from the coreward regions of space ... and with a phenomenon as "galactic scale" as the Empress Wave, that's simply not credible. There are going to be merchants and traders, explorers and travellers who will roam coreward of the Spinward Marches (for {insert reasons} here), encounter the phenomenon and/or its effects and word will get back to the IISS (who suddenly get VERY INTERESTED) prompting the dispatch of research teams to gather data on the phenomenon and its effects. That information gets gathered up and returned to IISS subsector and sector HQs in the Spinward Marches ... and the balloon goes up (so to speak).
However, my point was that even with 30 years of advance notice, the disruption to the economy of a high population world like Vilis would be massive (suddenly needing to devote 20%+ of your GWP to something you didn't have to pay for before is going to have massive disruptive impacts on the global economy). I mean, we're talking like "zero out the defense budget so we can pay for all of this disaster preparation stuff" kind of wrenching dislocation as the whole world economy gets redirected in support of needing to prepare for the KNOWN incoming "doomsday" event.
Also, I disagree that it takes that long to unfreeze everyone.
Oh you could certainly empty the low berths faster if you wanted to.
Theoretically you could empty them ALL in a single day.
The question is not a matter of CAN/CAN'T but more a question of WISE/FOOLISH on the matter of restarting the population and rebooting daily life. I'm thinking that a rate of 1% per month is both sustainable and highly forgiving of error and stresses on capacities (social, technological, cultural, political, ecological, paramilitary, etc.). The way I'm thinking of it would be that if you resuscitate people "too fast" then it's a lot easier to wind up in a "whoops, no backsies!" type of edge case that has a high probability of compounding the disaster and causing the recovery to stall and fail (along with the upheaval such a failure would bring about).
When you've only got ONE SHOT at rebooting an entire world's population, I'm thinking it's better to err on the side of going too slow than it is to err on the side of going too fast. The risks in the too slow vs too fast scenarios are NOT symmetrical when it comes to survival.
However, it does NOT take 30 years to get all 10 billion out of the freezers.
At a rate of 1% of world population per month, it would take 100 months (8 years, 4 months) to complete the resuscitation of all survivors (some people will die in their low berth and cannot be resuscitated).
They could recoup their costs by selling the used low berths on to the next world in the line of fire. As could that next one...
Interstellar transport becomes the problem for that.
Although it's possible that you could resuscitate 100% of the survivors (not everyone survives low berths) within say ... 3 months after the wave passes (not a reasonable assumption, but I'm just gaming this out), so all those low berths (that people didn't die in) become surplus and can be shipped to other star systems.
How are you going to get them there?
Even if you have a megatrader with a 500,000 ton cargo hold capable of transporting 1,000,000 low berths in that cargo hold ... there's only going to be but so much time before the Empress Wave arrives at the next system 1 parsec away. Single jump round trips are going to take on the order of 3 weeks (1 week in jump space each way, half a week loading and unloading a million low berths into the cargo hold on each end). That lets you make 4 trips in 3 months. Your megatrader ship can probably make about ... what ... 6-8 months worth of jumps safely before the system 1 parsec away needs to go into lockdown? In that time, your one megatrader starship can transport 8,000,000 low berths in 6 months.
If the system 1 parsec away needs 100,000,000 low berths, you'll need 12 megatraders doing nothing more than moving 1,000,000 low berths per circuit for ~7 months SOLID without a break (or a breakdown of any kind) in order to achieve the necessary volume of interstellar transport required.
However, it isn't *just* on Entrope to handle this: the entire Confederation is still there. So, you have the entire base of the Confederation to build the capacity to freeze 10 billion.
The Darrian Confederation can almost certainly produce 10 billion low berths in time for Entrope.
Having enough interstellar transport capacity to MOVE 10 billion low berths (5 billion tons of cargo!) to Entrope from all over the Darrian Confederation ... um ... maybe not?
The bottleneck here is going to be the interstellar transport capacity, which for the record is not "infinite" as far as these things go. There's going to be a limit to how much cargo can be moved at various speeds and distances.
This is why I'm thinking it's going to be a LOT easier to preserve lower population (read: Non-industrial) world populations in low berths simply because the quantity of low berths required for them is going to be small enough to fit within the capacity of interstellar transports available to that region of space. They will also potentially be quicker to unfreeze with fewer people, meaning those low berths become "surplus" faster for reuse elsewhere. So low population worlds would almost certainly have quicker turnover of their stocks of low berths and those smaller stocks would be easier to move to other worlds for reuse.
High population worlds, though ... the limits of interstellar transport capacity are going to dictate that a pretty substantial portion of the low berths they are going to need are going to have to be produced locally, simply because there isn't enough transport capacity to move THAT MANY low berths from other star systems into being available for local use.
Side note: I would fully expect there to be a tremendous BOOM in the demand for interstellar transport capacity prompted by this "parsec rolling disaster wave" which would remain useful and productive even after the Empress Wave has moved beyond that particular region of space. So totally a Disaster Capitalism™ opportunity to be seized upon by ambitious merchant princes (and, let's be honest, megacorporations).