I'm pretty sure the World Bosses on Broken Shore and the Cathedral World Quests are tied to the building, not to weekly resets. That said, this means there likely WILL NOT be another Cath WQ or BS WB up after Tuesday.
The only building/buff that matters what day it is would be the one that has a chance to refund broken seals because if you're not raiding those 3 nights, it's literally worthless (granted if it doesn't proc or you actually get gear on your rolls, it's just as worthless, so...)