Why wouldn't you?
I also don't touch the door handle or nob on public toilets, after washing my hand.

I use my jumper to pull on the door or my jumper to turn off the tap.
( G/PP 💩💩💩💩💩&#128, Fri 29 Feb 2008, 17:41, archived)

Howard Hughes?

( RedStar returneth, Fri 29 Feb 2008, 17:41, archived)

I use my elbows.

( KersaI Missive Free Michael Shields! with Monday's Liverpool Echo, Fri 29 Feb 2008, 17:59, archived)