That is one report that is contradicted by all the other reports. And I don't even know if Ballesteri is all that plugged into the team.
Belichick wanted Garoppolo to replace Brady. And reports are that Kraft sided with Brady. And some reports have Kraft pressuring Belichick to trade away Jimmy G. And then you are saying that Belichick a year later would be giving Brady a three year contract worth $35 million and Kraft was the one who kiboshed it? It doesn't make sense.
I have not seen any other reporter back up this story. In fact, most say the opposite and say Kraft is pissed at Belichick because Kraft sided with Belichick on Brady.
Kraft gave Belichick an extension at $25 million a year after last year instead of letting him go in as a lame duck coach. I seriously doubt he would balk at paying $35 million a year to Brady since he was the face of the franchise. Everything pointed to Belichick wanting to let Brady walk one year early than one year too late. His typical way he treats players.