Just a basic study of their systems should suffice to back up my claims. And just a few counter examples suffice to prove that the relationship does not hold as you claimed...
[sigh] And... it's too stupid to take the well-deserved L in time. Obviously a part of the "I'll just move the stop away from the price, 'cause it just HAS to recover" gang. Oh well... someone has to provide the liquidity and the good fills for the rational people among us. I suppose we should be grateful.
A tip for the economically and historically-ignorant among us: Bismarck created socialized medicine in Germany to shut out the socialists' bid for power (it was a major part of their platform.) That's why Lasalle and Marx ended up powerless - in prison/as outcasts respectively. This system was assiduously maintained by Hitler when he came to power - National Socialists, so not exactly a surprise - and it's remained a part of the German sociopolitical structure (although with many improvements) to this day.
A quick lookup says that ~90% of the population is on the mandatory state insurance plan - although anyone who can afford it buys private insurance instead. In other words, it's almost entirely a government-controlled system - meaning there's no competition. It's possible to argue that this is how services of this sort should be, including within a free-market system - Friedrich Hayek certainly did - but it means that the competitive market dynamics
DO
NOT
APPLY.
Here endeth the lesson. Go thy merry mindless way without having understood any of it, as usual.