Goku would win, and quite easily I might add. Even without accounting for the Kaioken and SSJ, he still put up far more of a fight against Freeza than Vegeta did.
Vegeta would need a Zenkai to have any chance of competing here. Vegeta was utterly unable to keep up with a very suppressed Freeza's speed, who a suppressed Goku was more than a match for. Goku's full Base power is eons above Vegeta.
Not sure what there is to discuss here. We saw a pretty clear picture of how things would go between Vegeta and a Goku not using his full power from how their fights with Freeza compared, unless you're in the camp that believe in the invisible Kaioken .
If this is in Anime, it would be a tie. When you mean Vegeta (Final Arc Namek) you mean when he revived and had a Zenkai Power reviving.
Vegeta was confident of defeating a Frieza that he knew was stronger than when he fought Vegeta and Goku in the beginning. Therefore I have Goku and Vegeta more or less on the same level.