They almost certainly...wouldn't? The exams are stressful and hard work: both high- and low-achieving students were celebrating when the standardised exams got cancelled here in Ireland and I'm sure it was little different in the UK.
At best, those who think they'd get better grades in the exam would prefer it. The ultimate use of these grades is zero-sum (there are only so many university places) so every decision that hurts one student is helping someone else.
It doesn't really matter how good the model is, it's an impossible task politically. There will always be some people aggrieved by the new process and they will always have plausible ways to spin it as racist or classist or whatever else is necessary to fuel the outrage machine. As if the previous setup was some kind of examplar of egalitarianism.