I don't see the owners firing Goodell for this, but this is just another hit to him. If Brady, McNally, Jastremski, and/or the Pats file a defamation suit against the NFL; it will be another hit. I think Goodell will eventually sink himself. The losses just keep mounting. At some point, Goodell will become such a black mark on the league that they will have to get rid of him.
And I think there are probably a lot of owners who want him gone. The problem is they need 24. Until they can do a behind the scenes straw poll and get those 24 votes, there will never be any signs of the owners ready to get rid of him.