Actually, this really *should* be standard practice.
Seeing how few people (well, men, that's the loo I use!) wash their hands, I can understand your point. But I'm just as happy with using the paper towel that I wipe my hands with, and a wastebasket near the door to drop it into.
What I really hate, though are those giant doors in hotel bathrooms. They open inward and block the tub or sink area so you have to go all the way in and shut the huge, heavy, unwieldy door just to wash your hands, which is ridiculous when you are alone. It makes a tiny hotel bathroom even more crowded.
Half baths, small rooms, why do they all open inwards? Does someone have a reason? It makes no sense to me. They take away from usable space in a tiny bedroom, but if they opened to the hall, which is wasted space anyway, you would have more room to arrange furniture.