You are mostly correct but the truth is that many players get overlooked in these sports because of the draft system here in the USA.
To stay on any team while you are in Uni over here you have to meet a bunch of criteria such as grades, not getting into legal trouble, injury stuff, etc, etc. Some very gifted players are let go from the college sport programs over stuff like this and their careers are done. NFL coaches even agree that some of the best football players in the USA never make it to the NFL because of circumstances either while at high school or in college. I have one young player on the Axemen that I truly beleive with the right coaching could make it to some level in Australia. He has a high school football background but because of his height he was not even looked at by big football colleges. I am currently trying to find an exchange program that will allow him 3 months or so in Australia to go to school and play for a team under a really good coach. I am a realist and know that it is hard to replace the years that we played the game as kids back home, but this guy hits like Gilmiester did back in the day and it is one guys twice his size.