You are kinda straw-manning their argument. They never implied bigotry against men (or anyone for that matter) is justified. They implied that men as a demographic commit crimes at a higher than average rate, enough so to make it an outlier, and that the underlying issues should be addressed to reduce that.

Your attempt to shift their argument to one of bigotry is just trying to shutdown the conversation. Men really do commit crimes at a higher rate, it's not bigotry to acknowledge that. It would be bigotry to imply there was something inherent to being a man that made a person commit crimes. But wanting to understand the data and help isn't bigotry, it's compassion.

Crime stats, historical oppression, financial disadvantage, and other PMC buzzwords do not matter.

Given that, crime stats, historical oppression, and financial disadvantage do in fact matter to putting context to crime rates. Would you be surprised to learn that areas with higher poverty rates have higher rates of crime? Would you accuse me of bigotry against the poor for saying that providing food, money, housing, education, and resources to those groups would reduce the crime rate? What if the impoverished area was comprised of immigrants? Am I bigoted for wanting to alleviate the situation that drives people to commit crimes, just because the people who need help are a minority group? Obviously not, bigotry is defined by thinking the problem is inherent to a group. It has nothing to do with acknowledging a problem and wanting to help everyone involved.

Now, with all that in mind, if men are committing crimes (especially violent crimes) at a much higher rate than the general population, is it bigotry to say we should consider what we can do to reduce the crime rate in that demographic?

edit: Here is something of a related situation to bring context. There are significantly less women in the tech industry. Is it bigotry to say that there is nothing inherent in being a woman that would make a person less capable to work in tech, so there is likely some alternative (likely societal) reason for this discrepancy? Is it bigotry to for someone to try and help women get interested in tech and break into the industry?