Except there's way too much X-Men pandering already in the comics as it is and it seems like it won't stop, so it's going to cheapen whatever stories she might want to have on her own by forcing her to pair up with them once again.
And sure she does have plenty of stories with them, but that was a thing of the times when even cosmic itself had the X-Men involved (Starjammers was a thing after all and so were the Shi'ar and the Brood). The good thing about the MCU is that they can be more creative than that and avoid having to use any of the X-Men for that stuff and tell more original stories.
And if you don't like current Carol that's more of a problem with you, but pushing more mutants into the mix isn't the solution. They should have their own stuff separate from the rest, in another universe if possible too.