Well, thanks to the complete lack of communication around this, we were all forced to guess whether or not the Weekly "Ending in 1 day" was real or not.
Turns out it was not real and everyone who earned/used their weekly chest already got boned. So, for future reference, when the vault has a quarterly refresh:
1. It does NOT operate like festivals. Your daily and weekly progress will carry over, and there will not be a new set of goals or rewards for that day or week.
2. If you don't claim AA for a daily or weekly goal prior to the refresh, you can claim it after and go over the 1300 cap.
3. Unknown whether this also applies to Special objectives that you have earned but not claimed (but I think it would).