Dude is a scumbag, but I think it’s pretty easy to understand that what he says on a podcast, where he’s promoting himself, and what he said to his child are probably not verbatim. We use hyperbole all the time. I might describe to a coworker a conversation with a client where I say, “And I was like, what the fuck do you expect?!” I obviously didn’t use profanity in that exchange and I obviously wasn’t super sarcastic to the client.
This one is a clickbait headline framing something that has poor optics as though it is literal fact when it’s almost certainly paraphrasing. He probably said something more like, “Son, please be quiet,” and the “shut the hell up” bit is describing the intensity of his emotion (and not in a hostile way, even).