I have absolutely no knowledge of Eton, but just to provide a bit of balance, I think you will find that Eton is actually open for non paying students as they are taking in local kids to help key workers. They also are offering free accommodation for key workers who are unable to return home.
Fair play, they have an empty school so they're putting it to good use helping the community. Well done them.
Plus of course they can afford to spend enormous amounts of money on distance learning facilities so that their fee-paying charges can continue their education in a low-risk environment.
I just did a quick bit of research on Eton. Blimey, it's a significant business, isn't it? £52m in fee income, £12m in Investment incomes, £437m in cash reserves, £700k/year in taxpayer subsidies in the form of an 80% discount on their business rates. That's one rich school. For comparison purposes, a Grammar school of the same size would have an annual budget of around £5.8m (1300 pupils at £4500/year).