there are two kinds of cat dislike. The first is by people who don't understand consent and don't understand personal space and don't like having to change their own behavior even a little bit to make anyone else more comfortable, and honestly huge red flag there's nothing you can really do for those people except don't date them and probably don't be friends with them either.
the other kind of cat dislike is the "my dad hated cats until i got him a kitten" kind of cat dislike, and the funniest thing about this kind of person is that cats actually get along really well with them... because that kind of person usually acts like a cat.
and that's what usually wins the person over too. Because that person can be like "hey fine we can snuggle or whatever, okay this is actually kind of nice, OW FUCK YOU THEN GET OFF ME I HATE YOU" and to the cat this is a perfectly natural feline interaction.
a dog will usually be like "oh no, figuring out what has gone wrong or continuing this argument is now the most important thing in my day" You ever try to get a dog to leave you alone after they've done something like accidentally kick you in the face, or on purpose punch you in the stomach with both front legs? They turn in to one of those people who you ask to give you some alone time and they spend the next hour on the "are you mad at me" treadmill. Unless it's a husky or something, and then they're more like "ha ha, i'm not touching you i'm not touching you" about it.
Either way "get off me and leave me alone" is all about them.
But a cat? You're suddenly over cuddle time and need to be alone? you seem upset for no reason? normal shit, i'll check back later.
With a cat you can be snuggling and then jump up irritably and walk away and the cat will be like "hey! whatever. I'm gonna go do my own thing then". Try that with a dog? lol no. They need to know what's bothering you now, it is more important than ever that they be in your face
of course these are generalizations and there will be cats and dogs who react somewhere on the range of different to opposite to this, but. I've seen a few people who "don't like cats" wind up with a cat in their home, and it's hilarious how their similarities are what wins them over.
Because, like, you know who else doesn't like you at first and takes a long time to work out a personal relationship before being willing to be friends? you know who else is often totally over dealing with cat bullshit? cats.
So they just take it in stride, and in fact often wind up better friends with "i don't like cats" people than they do with people who want to be friends with them right away. And the person often winds up appreciating the cats willingness to understand "i don't like you right now, check back later"... with the end result being: besties for life