It's totally a thing, at least in public perception. For example, in Fortnite, there's an emote called "Have a seat." Here's two of my skins doing it: https://i.ibb.co/Fb9BRS9J/IMG-20251109-155653-COLLAGE.jpg

Notice anything? Spike and Chun-Li do totally different animations because they have different gender presentations.

If projecting an air of masculinity is important to you, perhaps? There's a lot of subtleties that we socially and often unnoticed project, just ask the trans community.