If someone cares about this so much to make a website, why not include an explanation? There's mention of dignity. I don't feel my dignity lessened when my bathroom has no door. Perhaps the door is useful to keep the heat and the steam inside the bathroom?
If you only stay in hotels alone, it probables doesn’t matter that much to you. Quite apart from questions of dignity, when sharing a hotel room, there are practical conveniences: it’s nice to keep odors contained, and to be able to turn on the bathroom light at night without waking anyone up.