I can recall at least one time Nappa and Vegeta meet after Nappa’s death, maybe there are others I’m forgetting, but I think in the Studio they’d probably have a slightly different dynamic. I don’t really see Vegeta putting the gang back together with either Nappa or Raditz, personally, but I’m sure they’ve reconciled a bit. I really don’t think Nappa would have the balls to try and go behind Vegeta’s back at all, but I do think Vegeta would be fine with letting Bulma use Nappa for some good side dick.