I'll go back to the origin of this topic. This is the M.H. de Young Museum in Golden Gate Park. These photos were taken by a visitor the month before I posted about it here.
I dragged my wife into the former men's room just so she could see what the deal was.
I suspect that this style (which is just a resignation of an existing facility) is likely to go away in the future as new facilities are made with locking doors, and possibly without urinals. That being said, I've been to a few single-occupant/family ones that had a urinal.