Saying 100k is not much, is such a dagger in the heart of the real squeezed middle.
Clearly, money is wasted on the rich in the way that youth is wasted on the young.
If you cannot make your life work out with 100k you are doing something wrong.
That sort of money gives you choices, like, you could choose to move to Guildford or Winchester, st Albans, whatever commuterville, buy a house in the catchment of a fab state school, live well.
Or you could afford a nanny so both parents can work full time.
Or live very small in or close to London and send them privately.
It is options and choices that you have, that the real squeezed middle don't.
If personally you think state school is not an option, does not mean that sending them private us not a choice. It is a choice. That the squeezed middle don't have.