You know, I'm one of those people who always bitches about papa Stark, but I'd be unironically on board with this. One of the biggest reasons why the Peter-Tony relationship rubbed me the wrong way was because of how one-sided it was. It wasn't really about them being both independent characters with agency learning from each other (like Peter B. and Miles in Spider-Verse, for example), it was pretty much entirely just about Peter being growing in reaction to Tony and then he was reduced to a mere emotional device of his in Infinity War and Endgame. Peter didn't really make Tony grow as a person, Tony did that all on his own. Peter was just there as another prop to add to his mountain of guilt. Charlie Spencer with lines of dialogue.
Meanwhile Peter-Carol could have Peter gradually coming to accept Carol as a mentor figure, after some initial reluctance due to not wanting to open up again after losing Stark and finding her more difficult to work with, instead of just groweling at her feet like with Tony and be more assertive, due to being more experienced, while with Carol you've got all that in your post. It would be less of a maternal and more of a fratelnal relationship, if that makes sense. It would be fun to see their personalities play off each other and in general, relationships with a stronger sense of conflict are plain more interesting.