A better question is: If Vegeta and friends had just asked Earth nicely to make this wish on the Dragon Balls instead of immediately try to take it by force, would Goku and friends have let them?
See his wish didn't make a whole lot of sense to me. If I remember correct, the wording was eternal life and youth, and Vegeta's plan was something like he'd wear Frieza down someday now that he was immortal.
Well...what would have stopped Frieza from chopping his arms and legs off and just keeping stumpy as a trophy?
The only person who I recall ever getting immortality was Garlic Jr and if memory serves didn't he gain some regen with it? Idk, if Vegeta got his wish I doubt he would have ever joined the Z-Fighters, if he trained and somehow overcame Frieza I feel like he would have just took his place xD
Yeah, Garlic Jr regenerated from having a big hole in his chest after Gohan plowed right through him because of his immortality. But yeah, that's what I would see Vegeta doing at the time too if he had gotten the wish.