Spinward Flow
SOC-14 5K
Hardly.or just enough so that life support is no longer viable. Draw straws to see who you toss out the airlock?
My basic operating assumption is that (4 ton) staterooms come with a "built in standard" 2 week buffer of life support reserves (hence why you need to keep paying the Cr2000 per person "tax" every 2 weeks on a rolling basis, ordinarily). Deplete slowly over the course of 2 weeks and then replace at the next port of call.
For anyone pedantic enough to want numbers ... according to CT Beltstrike, life support reserve consumables weigh in at Cr150,000 for 150 person/weeks and requires 1 ton of cargo space to store. In 2 week increments for stateroom construction purposes, that's 2/150=0.013333333333333 displacement tons (186.67 liters) equivalence incorporated into the 4 tons per stateroom budget. For double/triple/etc. occupancy rates, simply multiply the amount accordingly. Note that you will need to have 3.75 persons per stateroom to even approach 0.05 tons out of the 4 tons per starship stateroom allocation ... and since triple occupancy "wasn't a thing" in CT the whole thing effectively "rounded to zero" in the nearest 0.1 ton granularity of stateroom tonnage accounting in the spreadsheets at the naval architect's office. In other words, the "2-4 person/weeks of life support reserves" capacity comes built in standard with typical staterooms.
So it's not like fuel and a power plant ... no fuel, power plant shuts down immediately (because no fuel) ... no power, dead hulk in space with nothing but battery power (which will be inadequate to maneuver with, so... ).
If a regenerative biome life support laboratory gets damaged/destroyed (for whatever reason) ... you've got 2 weeks to go somewhere that you can pay the Cr2000 per person "tax" every 2 weeks before the life support reserves for the (now excess) staterooms runs out and those staterooms need to be evacuated (since they cannot remain inhabited). It's not like a set of staterooms INSTANTLY loses all life support (air, water, food, etc.) and goes dark when a life support laboratory gets damaged/destroyed. In other words, the regenerative biome life support is "paying for the upkeep on a rolling basis" rather than being any sort of "instant LIVE" system with no buffer capacity whatsoever. Starship staterooms come standard with a 2-4 person/week life support reserve buffer capacity (2 weeks for single occupancy, 4 weeks for double occupancy).
If you assume that every stateroom can potentially be double occupancy "for any reason at any time" (a relatively safe assumption to make at the naval architect's office when drafting blueprints) then every single stateroom will automatically have a 4 person/week life support reserves capacity ... which ironically would also equal the 4 weeks minimum endurance power plant fuel requirement for starships (go figure, eh? ).
So ... NO.
Loss of a regenerative biome life support laboratory facility is not INSTANT DEATH for anyone that facility had been providing life support for.
However, it would mean that the "rolling renewal" of life support reserves that the facility offered (past tense) would no longer be available to "pay for upkeep" of those life support services (because the facility is "offline") ... so it's back to paying the Cr2000 per person per 2 weeks "tax" until you get the regenerative biome life support laboratory facility repaired/replaced. You'll basically have 4 person/weeks of reserves per associated staterooms before depleting all of your reserves for the associated staterooms, rendering them uninhabitable.
It's only after 2 (double occupancy) or 4 (single occupancy) weeks of NOT doing anything about the problem that the "draw straws to walk the airlock" solution you're referring to would become relevant. Under most (nominal) circumstances, that is plenty of time for a rescue or an evacuation to take place, let alone effectuating jury rigging in order to limp to a starport where you can repair/replace losses and start to stabilize your situation and circumstances.or just enough so that life support is no longer viable. Draw straws to see who you toss out the airlock?
It would still be a LOSS to capacity, but the crew harm would come slowly/later ... rather than instantly/right now.