Bruce
For what its worth, I believe you have actually made my point. Brown has been named in 2020 as the best college football player of all time. He was named by the panel you cite as the second best NFL player of all time. Even if you want to place Brady ahead of him (which I do not) that would make him third.
... and its his second sport.
He's in the same conversation (top handful of players all time depending upon whom you ask) for lacrosse.
D1 basketball at Syracuse and placing 5th at the nationals in the decathlon are just window dressing. ... and no, I do not believe Thorpe compares better as a multi-sport athlete, but that would be the competition.
Still, is it the GOAT of American Sports and lacrosse counts as a sport - then its Brown - (Even if its single american major sport writ large (including college rather than just NFL football) - its still arguably Brown) ...
However if the question is re: the most Goatish in the any one of the major American professional leagues I believe I would have to go with Ruth. I don't believe Brady IS the NFL's GOAT, and while Jordan gets my basketball vote hands down, Magic, Russell, Bird, Oscar, etc. make for a closer discussion than in baseball with Ruth at least IMHO -especially given his pitching stats.
That said, the only basketball player I've ever paid money to see is the Pistol when he would come into the Garden.
This discussion really needs to be in a pub or a coffee shop