I don't think you understand how markets work. If we had a non capitalistic version of hockey, non hockey parents couldn't buy coaching. Parents who know hockey would teach their kids very well, while the average pleb would be reliant on community coaches who if talented would be impossible to get coached by unless your dad had a position of power in government. Your entire narrative is counter factual. The russian system didn't even focus on stick work. You'd skate for years before people would invest in your stick work. Now imagine if your dad had you starting stick work at 5, when the government system had you teaching stickwork at 10. Not to mention there's absolutely zero rational for hockey rinks in a non capitalistic society, as the resources to make ice is incredibly extreme. The only reason the soviet union had the system they had was purely based on a rather extreme variant of russian militaristic-nationalism, the kind that persists today. I'd be perfectly happy living in a world where far less money went into hockey. It'd be a northern sport, limited to the winter months. But it'd be far less talented and who your parents are and where you were born would end up being virtually everything.