I think the priviledge associated with private schools somewhat obscures the deeper issue that by cutting funding in state schools it creates a huge gap between the haves and have nots even within the state sector.
In my children's state schools (middle class, village school), most parents spend a fortune supplementing their children's education with what is not on offer at school - the overwhelming majority of children will go to swimming, music lessons, ballet, football, rubgy, cricket, tennis even language classes outside of the school day.
Also they get all the resources and support they could wish for educationally, including internet subscriptions, laptops, tutoring, etc...
Surely despite not attending a private school they are at huge advantage in comparison to other children whose parents cannot afford to pay for all the huge amounts of extras....