Also you can still go to community college/a state school to get a BS? Or join the Army or something, take a low risk MOS, get them to fund your bachelors. The US is way less class prohibitive and has far more class mobility than the EU as a whole so I'm not sure what you're talking about.
On the "Education Access" pillar, the Netherlands scored highest, while the US ranks 40th. So I don't think your conclusion is accurate.
It's a lot easier to get in to college in the US than in most of Europe, but it costs a whole lot more (like requiring a degree in the first place, it's a kind of social gatekeeping). I think nowadays like 60% of high school grads attend some amount of college, but only about half of those get an actual degree.