My American pit bull terrier that was abandoned does. She is the biggest cuddle monster. She has to be completely under the covers and right next to me. She snores very loudly all night long. On my days off she will stay in bed 12+ hours snoring and tooting.
My American bulldog who was abused and neglected terribly has a bed on both levels of the home. I've pulled him up on the bed and couch to cuddle but he seems to be very nervous. He has settled down and laid with us for about 30 minutes. He doesn't move and gets down fairly quickly. We always pet him and try to reassure him but he's set in his ways. He's always welcome though.