This is an error. Praxeology tells us a free market in healthcare - and everything else - will more efficiently satisfy consumer demands than a regulated market or socialised market in healthcare. It doesn’t tell us waiting lines will necessarily be longer with socialised healthcare. Imagine if government spent it’s whole budget on healthcare - they may be able to lower waiting times practically to zero. The question you should ask anyone claiming low waiting lines under socialised healthcare make socialised healthcare preferable is: at what cost?
The UK government spent £119bn ($192bn) - 18% of it’s budget - on healthcare in 2009. That is about £1919 ($3111) per person per year. Out of curiosity, how does that compare to the American regulated market? (See Jack Roberts’ post describing what we get for that.)