I think ours does. Take a look at her front legs wrapped around her 'baby.'
This is Cheeky's standard pose for 'nap time.' When she was a new puppy, her toys would be unstuffed within minutes.
She hasn't unstuffed a toy for years. Now she hugs them and eventually when she gets tired her head will drift down to rest on her toy. She may also take its snout in her mouth and fall asleep with it in her mouth....you'd almost think it was a soother.