The NHS also has other private components: it used to run its own logistics division which was scrapped in recent years and replaced with services provided by couriers like DHL.
Could they? I thought the doctor's contract is with the NHS on standard government terms, and the patients are dealing with the NHS terms, the doctors have no direct contract with the patients or ability to impose legal terms on the patients differing from the NHS terms.
Does it? Why? I'm 100% for all of the items you mentioned -- public transportation, public communication, and public food. Arguably we pay for crappier versions of all of those already (Busses, Lifeline Program, SNAP and Bridges or your state's equivalent)
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You can be for "public services that should never be privatized or outsourced", and still allow private services to exist too. That's not a conflict in any way.
(I'm aware of the letter ban) but a public USPS for package delivery, doesn't prevent FedEx from also delivering packages too. A public water utility doesn't prevent Nestle from also selling bottled water everywhere. Public elementary schools hasn't prevented private/religious schools from also existing in every state. PBS / BBC hasn't prevented NBC / ABC / CBS / Sky from existing. You can be pro "public utilities for things everyone needs, ban privatization of public services" and that does not have to hurt any private companies in any way.
Government has always been about the legitimatized application of force; the use of law as one of the key components of the legitimization of force is very old, but not essential to the concept government (it's essential to modern, and even many older, norms or models of government, though.)
This is how government ought to be, and has been at least several times in the last 1000 years. The Magna Carta is famous for first codifying the rule of law principle.
It's the fundamental government functions that should never be outsourced.
(If the people's will is that government take care of other matters, no problem. They can choose either way, provided the resulting laws are not unconstitutional.)