Fixed your post for you.
What evidence do we have so far that the league is troubled by accusations of the Patriots cheating? For seven years, they have done nothing to diffuse a single controversy aimed at the Patriots, and if anything, have flamed the fires several steps of the way. In this entire period of time, they have done nothing to dispel the notion of us as cheaters - and not only have they had no negative repercussions for it, it has been the golden age of football with the sport, ratings, popularity, etc. all at an all-time high.
I strongly object to your notion that the NFL considers its reputation at all tied to that of the Patriots. We have seven years of history suggesting otherwise. The league is concerned about advertisers - the only thing that threatens that is the domestic violence issue.