I think if there's an issue I think it's more with the schools than with Oxbridge. In my personal experience the universities have put in a lot of effort to dispelling myths around their applications and broadening their appeal, and also seem to have some of the best financial support out of any universities, along with lower living costs since they can afford to subsidise so much. Meanwhile, in some schools there appears to be an attitude right from the start that Oxbridge will be out of their students' reach, and too much of a focus on consolidating their position by bringing the bottom up rather than encouraging those with ambition to succeed. At my sixth form college a friend of mine was discouraged from applying to Oxbridge because his application 'wasn't strong enough', and ultimately didn't apply. In the end though he got grades that would surely have seen him in, and in my (admittedly perhaps biased) opinion, the correct kind of attitude and work ethic to fit in perfectly; but he was put off by the whole 'our students don't get into Oxbridge' attitude that the staff had. As it stands private schools are far better equipped to give their brightest pupils the guidance and 'pushing' that they need - most likely because they are used to getting students into these institutions and know how to approach the situation, rather than being drawn in by the mythology that you need 6A*s and a parent in the Freemasons.