Almost all passive and neutral mobs seem to lose the ability to move as soon as they navigate themselves onto a chest. I had a village with over 50 villagers in it in the same space as my storage room, and villagers would constantly walk onto chests and then never get back off them. They wouldn't work, wouldn't sleep, wouldn't mingle, etc. It's also definitely not just villagers, I had wandering trader llamas and cats get stuck too.