Is it typical? I don't know.
No, that would be completely unsurprising to most men. Not funny. It would need to be something obvious to women and surprising to men, and surprising to women that it wasn't obvious to men. Then, yes it would be funny.
Since at least the days of the Roman Empire!
> I thought we stopped doing that.
Hollywood would love you to think so, but no, human nature is unchanging. This trend is huge exactly because it reminds us that men and women are different, and humans have derived humor from that fact since the dawn of time.
In the time since then you may have stopped thinking about sex/gender differences, but most people haven't.
I personally wouldn't find your proposal funny, but it might be more well received if you asked men vs women a question like "How often do you think about Taylor Swift's relationship with John Meyer?". That would probably get more views on your tiktoks. IMO part of the humor is that women are so surprised that men frequently think about the Roman Empire [and republic], but for the men it's a matter of course.
Like, would it be funny if men asked women how often they think about celebrity relationships and drama? People just think about different things.