Ah but my question was specific to ladies. You didn't have enough information from my answer to conclude I only open the door for ladies. I open doors for men too.
If you read the grandfather comment. He specifically says he finds saying "ladies first" weird. If he has said he found saying "men first" weird I would have asked specifically about men.
There's no reason to restrict nice things to people based on gender and it can be viewed as patronizing to do so.