The actual point is that nationalization tends to have mismanagement and shortages as an outcome, and private markets do not (at least not to the same extent). You consider NHS to be an example of a well run nationalized system, and yet the NHS deals with chronic rationing [0] [1], has queues for many things (and actually lets you pay to jump place in line) [2]. I'd hardly call that efficient or well run - instead, I'd call it symptomatic of central planning. W/ regard to people using bidets, cloth diapers, and washclothes - in a system with chronic shortages, people don't have those either. During the 90s and 00s I thought that perhaps China's simultaneous transition from poverty and shortage to (relative) wealth and abundance (which was driven by their transition from state control to capitalism) would have finally put this 'the state could eliminate shortages and give everybody everything' nonsense to rest, but it seems that people have very short memories indeed (or just weren't born yet when the major experiments in nationalization were underway).
[0] http://www.theguardian.com/society/2015/dec/08/nhs-rationing... [1] http://www.theguardian.com/healthcare-network/2015/apr/24/ra... [2] http://www.dailymail.co.uk/health/article-3104106/NHS-charge...