They will all look at the royal child as being literally themselves in those movies. The influence on their future behaviour and view of the world must be high.

I don't think that's exclusive to actual royalty children on account of the royal children being the protagonist. I swear to god the whole disney princess bullshit has shaped public perception of what a monarchy is into birds landing on fancily dressed nice ladies hand to sing a common song and not like spitting on a commoner.