Well, you ignore another, entirely plausible scenario.
After Walsh and his representatives succeed in the current round of negotiations, Walsh still exhibits reticence in his dealings with both the league and Arlen Specter.
This is too much for the Senator, who leans on Goodell to extract even more blood from this stone that is the Patriots' public crucification. Since Goodell's options here are limited to slim and none, this pushes the good Senator over the edge, demanding that his his committee give blanket immunity to Walsh, which then prompts the desired outflow of verbal diarrhea from this cretin, giving both the Senator and the public a long litany of rubbish allegations, almost none of which are true.
A trash tabloid's wet dream has come true.
Over time, of course, what Walsh has said will be invariably refuted by any number of sources, but the damage will have been done. In the Senator's quest for yet another "magic bullet", he will have cast aspersions on the Patriot's good name that can never fully be recovered, or compensation adequately proposed that would rectify the situation to at least some degree.
Not that he would care....