This is exactly the point, and why it feels uncomfortable for women. It wasn’t a natural act, holding a door open for another person. We all do it all of the time, for someone older than us, for someone pushing a pram or carrying bags. This is common decency. But he wasn’t doing that — he wanted her to go through his *part* of the door — as she acquiesces (because sometimes one can’t be bothered to be rude), he sees recognition and gets eager and rushes ahead to open another one. Just a smile would have been fine.