I think it takes several hundred hours and a lot of experience before a PPL would 'disagree' (term used very broadly) with a controller, especially in an very very busy place like Gatwick where everyone else on the freq has 1000's of hours and an ATPL with lots of scrambled egg on their hats.
I know, because I've read it on here, that ATCOs are taught that they are not the 'policemen/women' of the sky. But that's not how it feels to a PPL in a PA28!