Actually this year's Oxford intake is 35% privately educated/65% other so there is 5% inroads already. Fizzbizz - privately educated in sixth form is also closer to 20% and not the 7% in total private education.
Also many people in private education these days are the kids of those state school kids who are of a generation that did access higher education of some type whereas their grandparents did not. Those parents have educated themselves and found themselves in professional or other well paid positions (bright state school kids) and can now afford to send their also bright kids who a generation ago would have stayed in the state system to indie schools. Private schools are not all full of Tim NicebutDim characters a la Harry Enfield, the same way that state schools are not full of Waterloo Road chavs!
Not all private schools have tiny classes. Some operate in a similar manner to grammar schools and have classes of 24 or so. People vandy around things they have heard or historical facts without even knowing how current systems work and perpetuate a mythical 'elite' system. Perhaps this is so at Eton Harrow etc but not the majority of private schools
My DS is fortunate and advantaged to go to a selective indie. (One which I may add has 15% or so of the kids on bursaries up to 100% fees). He is also a clever boy who works bloody hard to achieve his grades. Private school kids do not have their grades simply handed or allotted to them by virtue of being at a private school. I have friends who have similarly clever kids at state schools and who knows perhaps he will achieve an Oxbridge offer or perhaps they will (or hopefully they all will).
I have no problem with any outreach programmes which will increase social diversity. I also appreciate contextual offers have a role to play (and yes some middle class kids may get them through luck of postcode when perhaps their background would otherwise suggest that they should not be entitled).
The reality remains as many posters have said whilst the nots for the likes of us brigade remain there remains a vicious cycle. My take on it is that outreach does not start early enough. I think it needs to start in early secondary years in order that it sinks in at an earlier stage, so that the right decisions can be made when selecting gcses as well as A levels, so that it becomes the norm for any kid bright enough to apply rather than.an exception.
Another obstacle is that many teachers themselves are anti Oxbridge in the same way they are anti Independent education and this in itself if probably a whole new thread and has been evident on many of the state v indie threads on MN.
The other thing to note is we have seen how stringent the Oxbridge applications are. The tutors are looking for potential. The interviews we are told are more like tutorials so they seriously don't care that Jonny played rugby whereas Matt played football. They care about enthusiasm for their subject.
I am.typing on my phone so apologies for.typos. Also these are random thoughts I am jotting down so I.am.not sure.how coherent they will run together as a whole.