Which type of intelligence do you think each Princess embodies most?

I think those are good estimations. :)

I would only make a few tweaks:

Jasmine: interpersonal
Tiana: logical
Anna: kinesthetic (she certainly hops around a lot!)

Snow: interpersonal
Cinderella: interpersonal
Aurora: interpersonal
Ariel: musical
Belle: linguistic
Jasmine: kinesthetic
Pocahontas: naturalist
Mulan: intra-personal
Tiana: interpersonal
Rapunzel: interpersonal
Merida: kinesthetic
Anna: interpersonal
Elsa: intra-personal

I was gonna make an article but I'd prefer to do this, it's easier.

I agree with yours except:

Aurora: Intrapersonal.
Merida: Body-kinesthetic

Snow White: Interpersonal
Cinderella: Intrapersonal
Aurora: Existential
Ariel: Musical
Belle: Linguistic
Jasmine: Logical/Mathematical (like Aladdin, she's quick-thinking and calculating, good at figuring things out)
Pocahontas: Naturalist or Existential, but I'd go with the former
Mulan: Logical/Mathematical, or Body-Kinesthetic (although she is clumsy - like Anna)
Tiana: Logical/Mathematical
Rapunzel: Interpersonal, visual/spatial or body-kinesthetic
Merida: Body-kinesthetic, but she also exhibits naturalist and existential intelligence
Anna: Intrapersonal or body-kinesthetic
Elsa: Visual/Spatial