To me this is a non issue, just like spy-gate or whatever. When millions, perhaps billions, of dollars are involved, organizations will do anything. All it tells me is Bellichik isn't that good at it because he keeps getting caught.
I really don't care about any of this stuff. I expect them to try.
Only thing concerns me is refs. When they start, or continue, rigging games and fixing them, then we have a problem. Undermines the whole game of football. Individual teams trying to get an edge doesn't bother me.
Regarding integrity though, all on the refs. No easier way to fix a game than getting to the refs, who are part time and not really professional IMO.