I don’t think it’s a perfect compare-and-contrast, but I think their personalities always reflect that a bit. Spider-Man is still jokey and random when fighting Carnage (or at least can be). Ms. Marvel still has those Captain America-like qualities when fighting less chaotic villains (or is she more like Carol? I keep thinking of Captain America but I haven’t read a lot of Carol).
I first thought of it after the issue where Loki shows up at her high school. Right after he starts causing chaos with his truth serum, Ms. Marvel shows up to 1) calm everyone down, 2) turn everyone's attention towards Loki, and 3) get them to work together to stop him. She essentially brought order to his chaos. Then I remembered the Loki issue in JMS’ run where Morwen called Spider-Man an “agent of chaos”.