I always tell them no. I know if you do you can do express check out, but last two DVC trips I just called front desk from my room as I was walking out last day and verified there were no charges to the room and they checked me out w/o me having to walk down there.
If you think about it, most everyone will have a photo ID with them. If you're driving, don't most licenses have photos on them? And if you're flying you need a photo ID, too.