Regarding Vegeta's speech in the Kid Buu fight

Vegeta's analysis of why Goku is better than him:

Vegeta fights to win, for the fun of it, to kill enemies, and to puff up his pride. Goku fights to better himself and to push his limits.

The question is: if Vegeta used Goku's blueprint early (i.e. after their first fight), would this have made any difference to the rivalry?

If not, due you view this speech as redundant?

Yes it would. Vegeta is naturally more gifted than Goku so if he chose to fight like him as well as train like him, he would be just as strong as Goku if not even stronger.

Difference as in, Vegeta being always up there in Goku's level?

If so, perhaps... It seems he saw Goku's pursuit of power being purer than his own as something that made Goku more prone to achieve bigger results in his training. Like, Goku's mentality as a martial artist, of seeing the whole game as a "funny" thing, in the sense of getting inspired to push himself harder if there were enemies stronger than him as a more conducive approach to get the best of himself.

Vegeta would get frustrated and work his ass off not to be behind, but more under an unhealthy competitive nature, as if he weren't able to live with the fact that he wasn't the best. Goku seemed more like always welcoming the thought of stronger enemies for the thrill of challenging himself, not making it simply a "I'll prove I can beat you" in a grudge way, more like a "to be the best version of myself and surpassing what may seem tough".