Curious where you got your statistics?
If anything it’s probably the opposite, with more Americans wanting to move to Europe than the reverse.
Citation needed.
I took some minutes to try and find statistics, and also ChatGPT claims that the EU simply doesn't collect or publish that kind of data, so I'm wondering how you think you know.
All I see in my circle is people refusing to even go on vacation in the US, let alone move there.
I do know people who've gone, only on vacation and they were exactly the sort of unthreatening rich white folks that you'd expect to have least trouble. Oh, and some US citizens who went "home" to see family at Xmas but work here.