Would vegeta going to change if gohan kept training instead of going to school?

[Like Naruto]

So Lets say chichi didnt interfere wwithgohan's training after majin buu fight, theres a possibility no definetly that gohan could surpass goku so what im saying is that gohan couldve obtain super saiyan god also at the same as vegeta and goku. If this happened do you guys think veegeta wouldve been the same as we see him right now if this happened?