In the UK, where the game was invented, 'Soccer' is called by its real name, Football. Only puffs and Yanks call it soccer. It's called Football because the ball is propelled mainly by using the foot to kick it. Any game that consists almost entirely of handling and throwing the ball cannot be 'Football' - logic dictates that it must be 'Handball'. The correct name for American Football should therefore be American Handball. QED.
BTW, any Yorkshireman or Lancastrian will tell you, quite correctly, that Rugby League players are the toughest of all, far tougher than girlie Rugby Union players and them Gladiator-Wannabes who prance around playing American Handball.