Woody Allen is and always was a very funny nut case. He deteriorated as he aged.
Mia's kids are unfortunate matches with Frank Sinatra, Woody Allen and adopted kids.
It many of Allen's films, he has sexual relations with VERY young women or he babbles incessantly about therapy.
He was a genius filmmaker always inserting his girlfriends or wives into complex and troubled relationships.
His films were is role-playing therapies and it looks as if they only exacerbated his problems.
I would not rely on Mia Farrow's words for anything.
Maybe the kids are telling the truth, maybe not?
If you really want to know nuttiness, friend Mia on Facebook!