That sounds plausible, but what makes NFL so special? Football broadcasts (Champions League, World Cup, etc.) generally show a half to 3/4 field view of the action, only zooming in to show the action on replays. I certainly get the sense that they're trying to show as much of the action as possible.
That's because the NFL is a monopoly. In soccer, if the English leagues unreasonably restricted the views and footage broadcasters could capture, then it would affect their competition with the Spanish, Italian, and German leagues. The standards rise, and those standards are translated over to the international competitions. The leagues are also a lot less powerful, since the clubs are independent businesses and can (and did, in the case of the Premier League) choose to withdraw from existing leagues and start their own.
Soccer also uses a lot more of the field at a time, instead of clustering around the line of scrimmage.
The NFL likes to focus on the skill positions (QB, HB, WR, LB, and DB's) more than the entire game so their camera angles reflect that. Most fans do not understand what is going on with the linemen because for the most part it is the most complex action on the field. But when the average fan watches it all they see is 300lb men running into each other.