I've never heard of the NHS trying to be 'better than private care', it's never pretended to be, and it would be self-defeating to try. What the NHS is, is a basic, acceptable standard of life for everyone in the country, the whole idea of 'Euthenasia squads' etc is beyond preposterous, especially since this government is still wrapped up in deciding 'right to die' cases, where the person wants to die, the concept that there are somehow 'death squads' is preposterous.
I think people are taking 'Triage' and converting it to appeal to their own political position to be honest, what the NHS will NOT do, for example, is spend tens of thousands of pounds trying to keep someone alive who stands little or no chance of surviving, hence the famous 'Do not Resuscitate' on terminal patients, because even if they are bought back, it would be a short, and expensive, reprieve, that may buy them 24 hours. This is no different to the US, where the relatives can either decide to have the machine turned off, or, in worst case scenarios, an application can be made to the court.
What amazes me is the concept that somehow, radical Americans claimed they know that the UK 'kill' its pensioners, and didn't once complain about it until it was politically expedient? That smacks more of a political stance than an ethical one to me.