No, that only happened because they're chakra was powerful enough to stay even after death. Not surprising considering they were direct halves of Hagoromo himself. And no, he already gave out his family extension when he revealed he had a brother.
Amaterasu spawns instantly wherever or whatever the user is looking at. Kirin travels 1/1000th of a second; but it still needs to go from Point A -> Point B.
He's more of what you call a late-bloomer and a kinesthetic learner (one who learns through the body). Naruto easily accomplished difficult skills and abiliies when he practices in a hands on manner. This is what you're asking, right?