I love the tickle on my back as a man helps me put a coat on. It doesn't mean I am so inept I cannot put a coat on for myself. It does not mean that I need a man to get protection from the cold.
Feminists are often confused by what sexist actually means. It is not sexist for someone to open the door for you. Both male and female people have done this for me. And if you are on a date, there is definitely a tingly edge to the pampering. No one is suggesting that I am incapable of opening doors by offering to open a door for me. It's just nice and a great way to let a person know that they are special to you. Why is that bad?
The feminist revolution has often meant that men have felt permission to behave badly. As a consequence we've eliminated dates and now have beastly things like "friends with privileges" and "hooking up."
Telling the men of the 21st century how to act like a gentleman is a noble task, and a much-needed service to gender relations.