It all depends on the hat in question. Some hats cannot be embroidered because of extra ornamentation on them, or the fabric used. In some cases because of the thickness of the hat they can only use the premium embroidery and not the basic, as the PP mentioned. The Minnie polka dots, I believe the Goofy hat is another that requires the premium embroidery.
For your specific question, the Cars Land ears are good for both premium and basic, but the glow with the shot hats are a no.