It's not about socialism or capitalism here, scarce resources and humans need regulation
healthcare being ran by a union of worker coops, that all pay taxes into the union of unions to manage healthcare for all members (workers and consumers who are members of the union)... Don't want to be part of the union then don't and if your employer still has their own health ins. use that, or maybe they use ours anyways cause it'd be better... Either way options still exist with the best ones rising to the top like normal capitalism, just CEOs and execs wouldn't be paid as well, because their value is a lot less than they think it is.
A balanced society as you say, can only come from something that's not capitalism or communism both of which are authoritarian or oligarchical at the very least.
Ancom, I think is the best solution with the least amount of friction. I mean all it requires to get started is for people to form a union, start some union-owned businesses, put the profits back into healthcare for all members of the union. Anyone can become a member who wants to (might have a dues though), then they'd be encourage to buy from union businesses, who will in turn use that $$ to pay medical bills for all union members. If there's surplus everyone gets dividends, and workers get big bonuses.
Free market propaganda often sets up a black/white dichotomy between capitalism and communism/central planning, then uses the failures of regimes like the Soviet Union to attempt to train readers to think that any deviation from capitalism will lead to similar disasters.
No, they're absolutely capitalist. Workers own the means of production in no "healthy" "functioning" government in the world.