Eh, I suspect that the misogyny that the GOP is infested with would make it pretty low brow, but might avoid some of the specifics by Haley herself.
Things have gone off the rails, and until/unless the GOP purges the extremists from its ranks, we won’t see a campaign that doesn’t end up with the kind of absurd nastiness that trump brought about.
Mind you, there has always been a low brow element in American politics, it just wasn’t as visible until the internet came around. Trump is just the jackass that completely ignored civility and gave permission for the worst elements to throw off their disguises and spew their worst.
I can remember being in jr high and hearing idiot kids calling each other dummycrats and republibums. This was in the eighties. None of them were smart enough to have come up with that by themselves (despite how stupid it is, these were utter morons), so they had to have picked it up somewhere, which was probably from relatives, and probably older relatives. So the brainless stuff is at least as old as me, and I was born in the seventies.
It is very hard to get the worms back into the can once spilled. People get a taste of not having to filter their thoughts, they tend to not be willing to go back. Which isn’t limited to politics, btw.