I realized this issue was happening while having a Kava party and it's continued happening.
I had my sim socialize with her friends, start doing dishes, vacuum, and then play with her dog. None of the objects or sims moved, they were all frozen, but when I cancelled the interactions or reset my sim, the objects would move as though they were interacted with. The single dishes spread around the house would suddenly be pilled up somewhere, or the floor would be vacuumed, or I would see my sims friendship bars going up, but no one was moving. I've tried repairing my game, lowering the graphics settings, leaving the game, trying different save files, and different lots but it continues to happen.
