I thought Chalamet was pretty good at playing Paul, but I felt the character should have been written a bit more naive at the beginning. It was always my understanding that, yes, while Paul grew up the heir of a royal family and was trained for such, he was still a kid.
As soon as he reaches Arrakis, when House Atreides goes down in flames, and culminating when he and his mother are in the tent and he’s exposed to the spice, is when he becomes more “edgy” and serious.
Maybe it’s just me though. I’d have to read the books again, it’s been a while.