if a cat or any other entity stands on a bed where a villager is sleeping, the villager will get pushed through all the walls and will suffocate. in my villager trading halls cats have ended up killing every single one of my villagers. when a villager is looking to pair with a workstation, or bed, it should naturally pair with the one closest to it, but ive seen them pair with workstations across the room even while there is an untaken workstation right in front of them. my friends and i have spent hours making a villager trading hall and they all just died from cats.