1 Semantics, but that doesn’t sound “inherently” sexist to me.
2 I’m pretty sure it just makes more comedic sense to put the unexpected interpretation on the right (or women’s side), so the “bad side” is different depending on the topic. I personally see this meme more often with the man being a surface level fan of something with the women being unexpectedly deep into the fandom. Like, among the earliest known edits (according to knowyourmeme) is the man just liking sports games with the women liking soulslikes.
We all know privacy is purple, we just can’t agree on the exact shade.