Nah, Dany know he was crazy too. She's heard all the stories and lived through it with her brother, Viserys. I bet she's just trying to get a read on Jaime.
I don't think Bran gone press him like that either. That isn't his character nor motivation. He may reveal to someone what Jaime did or it may slip somehow, but other than that knowing staredown I won't be surprised if Bran says nothing at all. I think Bran recognizes that it needed to happen for him to become the Three Eyed Raven and for the sake of the realm.
I'm curious to see how this plays out with Jon and Dany. That was a real question that Sam asked Jon about the crown. I wonder what Jon will do with it. It's interesting to me how Sam took that news about his father and brother in spite of their treatment of him. His brother wasn't outright mean to him, but he certainly wasn't opposed to their father's will either. Jon will either tell Dany outright and immediately or decide to keep it to himself. I think he'd do the latter but then get pressed to reveal his true parentage when Dany does something to piss everyone off and his back is to the wall. They seem to be setting it up for Dany to do somethings that will vindicate her haters. In either case, this been Dany whole life. I can understand why she would at least be hesitant to give up the crown, if not outright refuse. I don't think we get a new "Dance of the Dragons" though. There will be some anger and whatnot but they will make up. I mean, they are Targaryens. What's a little love between an aunt and her nephew? They would both rule as suggested by the onion knight.
I also think Sansa and Dany become bff's, sleepovers and all...
I have a hard time trying to figure out who will die. I have to believe Cersei will because of the prophecy, but I can't call it for anyone else...