Chapter: 258 (DBZ 64), P1.1
Vegeta: “I killed Dodoria!! Dodoria, so proud of his tremendous strength!! And it was easy!! Heh… My new abilities surprise even me… The battle on Earth wasn’t a waste at all.”
Dodoria " Pretty arrogant for just a Saiyan aren't you? Now hand over that scouter and get out, I'll let it go this time."
"Finally see what you are up against eh? I may just spare your life."
"Don't waste my time with your lies! And be grateful I haven't killed you where you stand!"
Vegeta taunts Dodoria to come at him and in a rage Dodoria screams I gave you a chance to leave, you blew it!
Vegeta " Look at what happened to your strength, the strength you were so proud of.
Also another gem here...
Among a small percentage of Saiyans, fighters like Vegeta were being born on Planet Vegeta. Vegeta is not the golden child we thought he was, there were others.
Vegeta talks dismissively to Dodoria when Dodoria asks him if he will allow him to leave if he tells him the secret. Vegeta says he will kill him right now if he doesn't.
The overall tone of Dodoria's manner of speaking to Vegeta is very similar to the tone Vegeta takes with Dodoria once his superiority has been established.
I just don't see any sort of rivaling gap being implied here.
Dodoria could finish Vegeta in one blast, that initial blast he sent Vegeta's way, more or less. The way Vegeta talks about Dodoria and his strength, na I'm not buying it, there's no way Vegeta rivals Dodoria.