Vegeta has shown a change in his role as a family man with Bulma. Before the ToP, he was willing to stay behind and look after pregnant Bulma instead of going to the tournament. He might always want to be better than Goku but he can grow in other ways. The thing about Super which is very different from GT and Z is that it seems to makes no plans to end and thus the characters are more or less frozen in order to keep telling stories. With stories that have a definite ending, the characters tend to have an arc which once they become who they are you really can't tell the same story with them because they already learned what they needed to learn. So with an ongoing series that has no definite end, you can't give the characters the same type of arc if you want to tell the same type of stories.
It is like how bugs bunny will always be the sort of trickster god who gets the last laugh at Elmer or Daffy, but there is a lot you can do with that. Or how Batman is always the tragic hero who his parents were killed and so he turns to become a vigilante, even though Batman is tied down to that setup, he still has a lot of room to move around in. So with Dragonball, Goku is always the naive fighter who wants to get better and Vegeta always wants to become better than Goku.