How about if we look at immigration into the US as a whole vs immigration to the EU as a whole? What do the numbers look like, then?
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.
Just last year, Germany has accepted more than a million Ukrainian immigrants – at a population of under 100 million. Yes, exceptional circumstances, but there have been a lot of these in the past decade (consider e.g. the Syrian war). And the number the US accepted in the same year? Just short of 2000. Yes, two thousand, not two millions – at four times the population.
Looking at the statistics, the balance is something like half a million in net(!) arrivals per year in the last decade. (I couldn't find comparable numbers for the US, but granted green cards seems like a reasonable proxy, and that's also less than a million per year, and that's not even accounting for people moving away.) And if you look at the larger EU, the "more than any other developed nation" claim completely falls apart.
The US also gets to cherry-pick immigrants based on skill to a much larger extent than the EU does due to geography alone (requesting asylum generally requires physical presence, and the EU's land and sea borders are a lot easier to cross).
One number I've found puts the estimated number of unlawful entries to the US per year at under 100k, for a total population of around 10 million. The EU sees around 2.5 million immigrants, vs. around 1.5 million emigrants, per year.
GPs claim of "millions of dirt-poor immigrants per year" skewing the numbers doesn't seem realistic to me.
It's an entirely made-up "crisis", but a reliably effective one politically.
https://www.cbsnews.com/news/immigration-border-crossings-us...
When you look at statistics that say the US is lower in this or that, remember that America takes in millions of dirt poor immigrants each year, and their circumstances skew the numbers. However they get assimilated and integrated, and a generation later their kids are going to the Ivy League and starting businesses.