False. Rationing is an alternative to *prices* as a means of allocating a scarce resource. Those who support *pricing* precisely reject *rationing*. If you want to pay for it, the sky's the limit. But pay for it honestly, because you want it and it is important enough for you, whether as a feature of a particular plan or paid out of pocket. This is precisely what private health care allows, while socialized medicine cannot accomplish it.
Rationing makes men mortal enemies, pricing makes men free agents in charge of their own priorities. Precisely that distinction, the socialist deathmongers refuse to contemplate. Singer can jump off a bridge any time he likes to ration his own health care. He cannot ration mine, or any other free man's, with his specious sophistry.
There will always be rationing, be it by wallet or by bureaucrat.