sorry, but in what way does a "truly professional theatre" make someone a better actor?
My local comp has better drama GCSE grades than Eton.
In what way does "an Olympic rowing lake" make someone a better rower than the Thames?
I can't compare grades because as far as I can see, Eton doesn't seem to offer GCSE PE
And most of your assertions are plain wrong. Public schools absolutely do on average get better results! Many are highly selective, so it is hardly a surprise. they don't get any better than selective state schools,
The average score points at A level is higher at state than at feepaying schools - this isn't even in dispute, it is the official league table statistics, and the stats are not so clear for GCSE, due to the range of courses done in state and in private, but the trend is very similar
www.telegraph.co.uk/education/educationnews/11815341/State-schools-outperforming-average-private-schools.html
one of many many sources...
and why do you think state schools don't have links to top universities, or targeted application advice? Admission tutors are not stupid, you know!
All children in the uk are taught to swim.
As to spending less on education, Eton parents pay about £30 000 a year, a very small amount goes on education - you don't even need to be a graduate to teach at Eton! boarding costs, food, profit, upkeep of "Olympic rowing lake".........
The government pays say £5000- £15 000 a year for a pupil in state eduction ( sometimes more, sometimes less)- ALL of which goes on education.
Depending on the fees of the school, and the other outgoings, profits, etc, a state school pupil can easily have significantly more spent on their education than an independant school.
Look at the music fees for Eton. More than 6 times the cost of instrumental lessons at my DCs school, yet the GCSE results are virtually the same, and many many of the students at DCs school easily achieve grade 8 on their instruments.