Men and women both care about looks.
But men care more in the sense that a man will ignore mental illness and abusive tendencies because "the ass was fat"
A lot of that "my wife is a real bytch huh?!" Comedy doesn't really land on some people because their mind goes to "why is he complaining about being in a relationship with someone he doesn't like instead of just breaking up?"
Women care about looks, but they won't stay in a relationship with someone that they hate because he's tall or whatever. They know they can get an attractive man, so if the man they're with can't act right they'll dip and move on to the next one.
Men have a scarcity mindset and will tolerate all manner of disrespect because they think of attention from a beautiful woman as a rare, finite resource.