Healthcare is not any better in different parts of the world (or Europe for that matter). Within countries there are places where healthcare absolutely sucks and there are places where you can get a decent healthcare, even in Poland (you have options for private healthcare for example).
As for getting "rich" and inter-generation wealth - we (I'm from Poland too) do certainly have that, although not to the degree that other countries such as US have. Many people I know could afford their first house/flat or mortgage for it only because their parents helped them. Also don't forget that many people got their wealth from communist era, where they had to just wait in the queue to get their flat and then they bought it for a penny after we shifted to capitalism.
There are certainly real professionals here in Poland too, but they're just harder to come by. I'd not say it's specific to Poland. If anything, you can just say it's more common than average in other countries, but it's not certainly an exceptional thing here that we lack true professionals.
I'm in the same bucket as you're, it's not like the pasture is greener on the other side in many fields.
BTW, I've not yet come by anyone whose hobbies were flying or diving, although I admit I might not have met as many people lol.