I can't re-enter Rest House 4 here, but after the quest ends and the safari zone is back to normal, I can re-enter it normally, at the cost of not being able to go to the abandoned lab from here. You can't also approach the middle section of the abandoned lab, even after the safari zone is safe.
This whole cutscene repeats when you fly out towards Celadon and re-enter through the previous building. (This is before finishing the Sarah questline.)
After turning Oakley into a bunny girl and re-entering the room, Oakley becomes bunny Annie and actual Annie returns to her normal sprite even though she was also a bunny girl. Annie's induction is also unskippable unlike Oakley's, and contains GF's induction instead. Also, unlike GF and Mela, turning them into bunny girls won't make them appear in the casino. Speaking of which, if you turn Erika "nude" then select "casual" after, it will say that she's in her casual clothes, even though her mugshot and overworld sprite are naked.