I don’t have any good examples that I know of, but I am very curious. To me though, a rivalry is a rivalry when two or more of people are closely competitive. But is it really a rivalry anymore when someone has more victories over the other? I don’t think so.
Especially if you also consider the abridged version but gokou and vegeta also a good example.
Kakarot just treats Vegeta like a freind, and Vegeta will never think of Gokou as someone he has to surpass and maintain some kind of supremecy over
Vegeta really goes to great lengths to try and catch up. Goku just makes it look so easy while Vegeta is always taking a beating and getting better, but nowhere near Goku. The guy even lets himself get possessed to try to catch up.