A more plausible theory is that cost disease is largely due to (1) regulatory capture and weak institutions, (2) coordination costs between various institutions and (3) what ultimately boils down to corruption (public officials acting with private interests). If you really want to understand rising costs in health-care, military, and construction you should pay close attention to the rise in outsourcing and pseudo-government agencies (eg US defense contractors, supposedly "private" corporations where 70%+ of revenue comes from the government).
France, Japan, China -- these are in fact highly centralized economies which means that they are able to operate national, robust healthcare and military systems with surprising efficiency. UK, Brazil, India and of course the USA (par excellence) -- these are highly decentralized and federalized economies which means large scale initiatives are very prone to succumbing to the dangers referenced above.