The problem with nationalized healthcare is that it suppresses many of the price mechanisms usually used to calculate what healthcare should cost. It's practically impossible to manually set a market clearing price which doesn’t hurt the health service provided. Most nationalized healthcare have to pick between two options; either rationing the healthcare, or risk wasting money, time and resources on services not needed.

A big problem is also that wages in nationalized industries work according to a completely different mechanic that in the private industry. As it is impossible to tell in the public sector whether or not certain institutions produce more value than they cost in taxpayer money, wages become a function of political discretion, rather than market forces. Because of this, the cost of nationalized healthcare always seems to go up, as no one feels the need to cut anything when the healthcare Is working, and politicians prefer to increase the amount of money spent on something when there is a “problem” rather than try to decrease costs.
Nationalized healthcare does bring the advantage of collective bargaining. However, with the disadvantages presented above, all nationalized healthcare become a calculation of cost-benefit.

This doesn’t mean that people can’t and shouldn’t be proud of their healthcare. It just means we shouldn’t make it out to be something that it isn’t. That was just my view on the matter. Hope you found it interesting.