So I tried to wash my hands in the women's room (despite the big red sign warning "WOMEN ONLY! NO MEN!, which makes me wonder what's been going on there), but I couldn't get that faucet to work either. I asked, "Where can I wash my hands?" The cashier said, "Women's room." I said, "I tried that." She said, "You have to push down."
Sure enough, pushing down on the faucet brings forth water. But the handle looks like the kind you're supposed to turn. There is NO HINT WHATSOEVER that you're supposed to PUSH DOWN.
Hmm, I wonder if the men's room has the same kind of faucet, and some dude smashed it with his fist in anger when he couldn't get it to work. And of course a woman wouldn't do such a thing.