Controversial opinion, but I don't think Vox hates women.
Do I think he'd have internalized negative values from his time period? Sure. For whatever reason he is the only character that's like that, but I won't deny it. That said his behavior in general isn't an accurate reflection of the sexism found in the decades he'd have been alive for. People read way too much into him saying bitch at the end of Hazbin Guarantee. Guys, it was written by Vivziepop. Everyone says vulgar things, I don't know why we should start caring when a villain does it. Are you people upset at Alastor for calling Vaggie "Vageen" in that same episode? Ultimately Vox treats just about everyone poorly, I don't think gender plays deeply into that.
"But he kicked the female news anchor in Brighter!" That felt more like a light slapstick gag than anything else. I don't think its intended to be taken that seriously.
"But he killed a woman!" And Alastor targeted female overlords, but nobody talks about that because his fans think he's a feminist.
"But he touches women without consent!" So does Alastor! Alastor squished Charlie's face in his hand, if Vox touching shoulders is invasive then what was this?
"But he made Velvette apologize to Carmilla when she didn't want to!" So? He's actually in the right here despite how the show frames it. If he's to do business with Carmilla then Velvette needs to smooth things over. Her ruining that one meeting didn't just reflect badly on her, it made him look bad. Velvette was being a brat. Sorry.
"But he fed Goldie to Shok.wav!" And Valentino replies with "I was using that", ultimately the scene exists to reinforce they're evil. There's a lot of that in season 2, too much if you ask me. Again, Vox treats everybody terribly.
"But he's tied up in a sexually exploitative business!" Yes, he knows what's going on there and doesn't stop it because it gives him money. I expect this to get addressed at some point in the show. His ability to exploit others without concern is something he'd have to overcome if he does pursue a self improvement arc. However, that business is gender neutral. Val isn't trafficking only women, in fact most of what we see are men being used, so this doesn't necessarily speak to an innate misogyny. Even then, are you also calling Val a misogynist or saying Velvette has internalized misogyny? If you're saying this about Vox then so are they. You can't have this him vs them mentality on this topic.
"Well, Alastor treats women better than Vox does!" Does he? Just because he has a fondness for Niffty it doesn't mean he's sweet to women as a whole. I don't care what Viv says, the idea that Alastor hates only men and loves women isn't something I believe. We know he's using Charlie, people gotta swallow that pill already. He doesn't care about her goals or her as a person, he's trying to gain something through her. He used her in the finale for his own benefit despite her begging him not to. He isn't actually friends with Rosie and according to Sam Haft he doesn't hold affection for Mimzy. Meanwhile, people making this argument ALWAYS choose to ignore that Vox has Velvette who genuinely likes him when he's not spiraling like he did in the back half of season 2. I'm tired of this!