I've cut from reply 10 to the end.
No, it's not fair. But while we have a Tory government, it will never change.
It had endlessly been demonstrated that a private education confers benefits to its recipients that they would otherwise not enjoy.
The private school student gets:
Selection (by wealth, ability, maybe other. But selection).
Usually small class sizes, but before Xenia chimes in with her 25 per class example (North London hyper selective girls schools, classes where everyone is at the same very high level).
Much more sport, art, drama.
Higher grades. Oh, and a history of higher grades that take away the horrors of Ofqual algorithms....
Intolerance of disruption.
No unmanaged SEN.
But, it will always be dressed up as 'charidee', not 'advantage'. Especially if we keep on voting Tory.