The “oblique” type, produced a tall, pointed head, and was for those destined for high status. The “erect” style, which was round on top and flattened on the sides, was for the more common folk. Since they’re doing this when you’re a baby, the idea of upward mobility is pretty rare. But not unheard of. While it’s true that burials show that mostly people with the oblique style skull wind up in the VIP style graves, the occasional erect style skull winds up there too. So your whole life wasn’t determined by just your skull.
The oldest known remains showing head shaping were found mostly in Iran, in places like Shanidar cave, Ganj Dareh, and Tepe Ghenil, and at Bouqras in Syria. All of the sites are approximately 10,000 years old. The number of skulls found with intentional deformations compared to the total number of skulls indicates that the practice was limited to certain individuals, but it was practiced by both males and females.