And more to the point, you don’t get into Oxford or Cambridge even if you have top marks in all your A-levels if you don’t have good interviews – I was a case in point 😀
Obviously the education thing helps with that too ( So I have no excuse 😉 ), but the claims that money directly buys places at Oxbridge (to any significant degree – I’m sure it’s happened at some point) are just wrong.
But back to the OP, yes, there should be efforts made to remove the barriers that exist to poorer people getting into politics. None of the main parties are doing anything about that whether it be the ConDems or Labour.