Totally agree Michaela. Oxbridge aren’t even interested in your extra-curricular, let alone what school or region you’re coming from. It’s all about the grades and if anything, they would look more favourably at someone achieving AAA from a comprehensive, than from a selective indie. They may well even give a contextual offer.
Also, I think there are so many assumptions made about students from independent schools. Yes, those in selective independents do have certain advantages obviously and I would never deny that., But if DC are in highly selective grammars, or independents where the competition for a place at 11 plus is probably higher than it is for Oxbridge respectively, it only stands to reason that these schools will produce a lot of applicants to top unis down the line. These schools don’t pretend to cater for anything less than the top 2% or whatever it may be, so you have to expect much higher admissions from such schools, than schools across the country catering for the full range of ability.
It obviously is an advantage if you’ve had parents who went to Oxbridge, in the sense that they’re familiar with the process and it’s less daunting, etc. But independent schools vary as widely as state schools. Some are worth every penny, some are utterly shocking. And you can’t generalise about the families who use independents - not necessarily. For instance, my DC are in independents these days, but I was the first in my family to ever go to uni and DH came here as a baby with refugee parents.
There will be all types at any university, but I guess you never know what could be unless you give it a try. There was a time I would have had certain preconceptions about “Eton types”, now I just don’t care. Get the grades and they’re all in the same boat.