I think Conte finds it hard to switch off. You see someone like Mourinho who can go between the serious coach and jester with the media and fans, but Conte seems to have that ruthless focus all the time. Benitez is another who is a bit like that, their minds don't stop.
Still, I'd take that if it means continued success. Maybe we can't expect normality, because that sort of mindset is what makes him as a coach. He doesn't switch off even with wins or good performances. Maybe it's something that comes with experience of being a coach at a club expected to tour around the world every summer.