So, what did I say that factually wrong?

There have been a few European players in the NFL. The team I follow, the Minnesota Vikings, have had a number of international players at least tryout for the team. We've had a German wide receiver on the roster for 2 years, a player from Africa, (I can't remember the country right now), and a couple Aussie and New Zealand kickers. In fact, we will have a punter from Australia this year trying to make the team. And there have been a few Polynesians in the NFL over the years also.

So, American football does have enough worldwide players to draw at least few players. Though almost all attend collage in the US to gain better skills and attention. I wonder if the reason more Europeans don't gain much attention from the NFL is because you generally aren't big enough, (don't feel bad 90% of the world isn't). There is almost a genetic lottery you need to win at birth to even have a start at being good enough.