I think it will come down to which state your base is in, or even where you happen to be at the time.
If the company issues a letter identifying us as critical workers, then you could use that letter in any state depending on how it's written... including a state which might give you a higher priority than your domicile state.
If a 121 badge is all that's required, then you'll be able to get it in any state, per their local schedule.