Yeah, a woman wearing pants to an office job became totally normal. A man wearing a dress or skirt would be assumed to be transitioning gender or wearing a costume.
Women used to be arrested for wearing pants many places, and still kept doing it until it was normal and legal. I don’t think straight men had the same motivation to push for the right to wear skirts; if they did that would be normal too.
That is the pattern. Rarely would you have a baby boy using a women's name. Broadly speaking there is a general stigma within society going the other direction then women adopting male things.