How does taping opponents signals which can otherwise be seen by the naked eye or taped from the press box help a team during a game?
In the first place, the cheating Patriots could not get audio by taping from the press box. Their scumbag henchman recorded defensive coordinators on the sidelines, both with video and audio. See, e.g., http://sports.espn.go.com/nfl/columns/story?columnist=sando_mike&id=3017542
Secondly, the NFL has this explicit, bright line rule against video and audio taping for a reason: because it would give a team an unfair advantage. Your scumbag team had the advantage of being in the other team's defensive huddle for several years.
The Patriots "won" each of their three super bowls by three points each, I believe. These "wins" are so tainted as to undermine the integrity of the entire league.