Do I owe my husband an apology

Update. Thanks everyone. I've decided I will not apologize. It's 9am and he's sleeping right now and will sleep all day because he works nights. If he wakes up tonight and keeps going on about it or anything changes I will update but I'm hoping he just forgets about it and we can move on.

Can you all tell me if I'm out of line? My husband has been following a lot of Joe Rogan and Andrew Tate type people. Today he told me that men and women aren't equals because women are physically weak while men are strong but women are better at office work and thinking while men are less good at office work and thinking.

I told him that using the word "equal" implies that women are inferior and what he means is that men and women are different. He insisted that no he doesn't mean different, he means women are not equals.

This led to a big fight that ended with him telling me to get out of his living room because he pays the bills, which I did, I went up into the bedroom, and then he followed me up the stairs and is yelling at me through the door. He doesnt want to stop until I admitted women aren't equals. He keeps saying me being upset about his word choice is me being woke, me trying to be "on top" and me just being a bitch and he keeps insisting that he doesn't think women are less then just that we aren't equals. So tell me, am I wrong to be upset that he used the word "equals"? I tried to end the argument 20 mins ago but he's still yelling at me through the bedroom door as I'm typing this out. I'm ignoring him. He is 100% being the aggressor but he's saying that I triggered this because i won't admit he's right and I'm just trying to be "on top" which I think by "on top" he means I'm trying to be right even though I haven't responded to him since before I came up here. I was sitting on the sofa ignoring his yells when he told me to get out of his living room

If I'm wrong for being upset about his word choice then I will apologize after he leaves me alone. Maybe my silence is also working him up? He didn't say that, I'm just guessing because he started getting really worked up downstairs when I told him I was done talking about it and started scrolling on my phone to end the conversation and he's getting angrier and angrier yelling through the door even though I'm not responding.

Edit to add, it's almost midnight here. He went back downstairs a few mins after I finished typing this. I am going to attempt to go to sleep so if anyone asks me anything I will answer tomorrow. I will apologize to him tomorrow if that's the consensus.