Of course I'd let the cats sleep on the bed with me. At the moment, I don't have a bed, but when I did, naturally, the cats sleep wherever they desire. The cats tend not to actually want to sleep with me though, since I tend to flail around when I sleep, and no one like to get kicked or thumped while they're sleeping.
The next person would totally have sex with my avatar.
Let me make that bigger for you: