I see. So you're arguing that "Hold my beer!" isn't connected to "men" in any way?
As part of a meme? No, not connected. You could absolutely argue that when it originated in the 1990s (before 95% of people who use it in memes were even born lol), it was connected specifically to male rednecks - Jeff Foxworthy is one of the first people who wrote it down. But by the 2010s when it became fashionable it had spread more widely hence stuff like:
It's often applied in memes with female subjects. I won't link any because all the ones I can easily find are indisputably partisan political, but there are plenty. And it's still "Hold my beer", even when the subject is a "fancy lady" or whatever, because the entire thing is a callback to the idea of having someone hold your beer for you whilst you try to ramp-jump an ATV over a swimming pool or something.
Changing it to chardonnay is Boomer-ish (again in the internet sense) and thus cringe and also weirdly sexist. I do agree with whoever pointed out there's
also an element of classism being introduced, but that too is cringe.
I think this is my final post on the subject lol. It has been given too much time already!