Yeah that's a bit of a weird one since, on the face of it, it makes no sense as a stance in principle and makes even less sense to leak -- unless you believe that Brady is obsessed with the idea that he'll become the NFL's version of Barry Bonds if he cops to guilt in exchange for a shortened suspension, which would jive nicely with the denials issued later in the day, since that's hardly a sentiment that can be expressed publicly.
No idea if that has any factual bearing on that, it's just the path that makes the most sense to me.