Susie42 I agree the place doesn't matter but "free at the point of need" has raised many health standards, benefiting the country. It does matter.
I suggested in a thread a while ago that the 'model' the government used for Care appears to be the same one in place for "free child care", dentistry and hearing, and possibly others I haven't come across. If this is a standard model they find is working, they will repeat it elsewhere in parts of the NHS and slowly in all the NHS. The government payments for those on benefits, who will become the only ones paid for by our NHS insurance, are underfunded in these areas. It is reasonable to assume we will see much the same in GP surgeries with direct patient payment and maybe one doctor who sees "NHS" patients and those "NHS" patients being only those on benefits.
This will mean those who can afford the various insurances will start to buy them if they don't have them already. I feel that a surprising number who think they manage well on "enough" income will find they cannot afford all the basics currently available.
The underfunding of the remaining NHS/benefits patients will be supplemented, as it is now in the areas already under this regime. Charities will try to help, people who can pay may be charged more and some treatments will simply not be available for these patients. Not being able to get a white filling on the NHS may not matter; not being able to get a kidney, or fast cancer treatment will.