"There is no male privilege, no patriarchy, and no systemic sexism. Men have much higher homelessness rates, suicide rates, and are far more likely to be a victim of violent crime. "

How would homelessness rates mean that there's no patriarchy? Just because it doesn't benefit homeless men, doesn't mean it's not there.

You have higher suicide rates because of toxic masculinity (reinforced within and by the patriarchy) which means men don't/can't cry for help etc etc.

And yes, you might be victims of violent crimes but this crime is usually perpetrated by men, so again - this doesn't disprove a patriarchy.