Batman is an example. Batman is a human being with a brilliant intellect, which is not a problem, but being a human being without powers, he manages to be more intelligent than aliens superior to humans, he manages to be a MASTER in all martial arts and no matter who the opponent is, he is always prepared and can win. Any writer who dares to create a female character with these characteristics would be attacked and called woke

Is he? or is he a rich fucking Neppo Baby running around in tights, cape and a mask, and you just assume he’s brilliant because he bought all his lab equipment or had it built?

Batman/Bruce Wayne is far from perfect. For example, the “good” he brings with his vigilantism is no where near the good he brings if he were simply taxed into obsolescence. and he’s pretty shit at crimefighting, too, frequently causing more harm than the people he’s stopping. (“oopsie, I blew up another factory causing a massive chemical spill.” with Joker going “And you get a super power, and you get a super power, and YOU get a super power. EVERYBODY GETS A SUPERPOWER!”)

as for always being prepared, that’s not how the pro forma story arc goes. First he gets into a fight, gets his ass kicked and then runs and hides in his batcave while the labtechs whip up the perfect solution for him.

Put another way, He’s what Musk wishes to be.

There are many other examples, just watch any Japanese isekai anime

The vast majority of which is geared towards teenage boys who are just discovering boobies, and most the protagonists are male simply to cater to their audience.

In any case, while yes, criticising mary sues is definitely more extensive than gary stus- and we both know why- there are plenty of gary stu’s to hate. (pretty much anything played by tom cruise, for example.)