Most people who can afford it do. We still come out and cheer for the national religion once in a while though since we are told repeatedly it is the envy of the world.
No the British news accurately reports on how bad it has become after over a decade of politicians defunding it. It's sad. When I left London a decade ago I had no reason to ever use my private insurance. NHS was excellent. Now I still use NHS when I visit but it not to the very high standards it used to be. And I have to sometimes use my private insurance. Everyone knows this and talks about it. I don't expect this to continue though. Most people want to return to a well funded and more functional NHS.