I seem to remember that in the 1930s lots of Welsh coal miners sons got to Oxbridge as well as other working class men. Quite a number became distnguished in their adult professions.
When I went to university in the early 1960s, there was no lack of the sons (and daughters) with working class backgrounds at university. I married one of them.
The reason that there are not more workig class students at top universities is that not enough apply to them and the reason that happens is that they are constantly being told by pundits and other stupid people in public eye, how hard it is for them to get into them and that they are bound to fail.
What we should be saying to school leavers is thatthey should have a go, that the more of them that apply to top universities the more of them will get in.
I have a degree in economics. When I was applying to university in 1960, nobody discouraged me from applying, by telling that economics was a male subject, that it was not a subject women studied, which was true at the time, so I just went ahead and applied, got a place and only discovered just what a predominantly male subect economics was when I got there. For most of my university life I spent my time doing things considered male activities, debating, taking part in debating competitions, getting on University Challenge and this followed in my adult life.
Let us tell all our students leaving school that the world is there oyster, that everything is possible for them and encourage them to apply for top universities, apply for top professions. No one can succeed when everyone keeps telling them that no matter what they do they will be faced by discrimination, will find it difficult and so on and so on. I am not denying these things exist, but they are overcome by mass attacks of hundreds and thousands of these students overwhelmng the best universities, best professions with applications of being determined to succeed and not being told they will fail before they start.
This is what my generation of women were doing in the 1950s, 60s and 70s - and look how far it has got us. Not complete equality yet, but a damn sight further, than if we had been harrassed by Jove's comforters telling us how difficult it would be, how we would be discriminated against etc etc. and discourage on all sides from doing what we have done.