And we want that person to be the government?
Might as well, I don't consider that to be any worse than a private bureaucrat making that decision. It's not like if you don't like what your insurance company says you can then shop around for another one; whatever the problem is it would be a pre-existing condition and most likely no insurance company would have you. In this particular instance, government would give the same results as our current setup.
Not that I'm saying government run health-care is a good idea, it's certainly not. But not for this reason; this is not a logical argument against it. It's just something to make the old people afraid.