So, a non-profit that took monies from EU citizens I think would still possibly be affected, unless there's EU laws that make non-profits a different class of business subject do different laws.

There are non-profits that make millions of dollars in positive cash flow. All that term means (At least in the US) is that it doesn't ever pay dividends to shareholders.

I'll be intentionally vague because I don't want to stray too far afield but there are some large organization that make a lot of money but are classified as non-profit. They can pay excess revenue as bonuses to directors and executives.

The same reason that if, say, Texas introduce a law that says everyone commenting on a texan website needs to be polite and I post a comment with some name calling, suing me as someone not from Texas nor the US would not be very doable, even though I technically infringe on that law.

It's been done: https://blogs.ch.cam.ac.uk/pmr/2010/11/21/english-libels-law...

The libel situation has slightly improved since then.