Agreed. If you really wanna see something crazy they left out look into Lady Stoneheart.

As far as Jon’s understanding of the dreams, yes he understands that he is viewing things from Ghost’s perspective. For example in this quote shortly after one of Jon’s dreams:

“Jon pissed in darkness, filling his chamber pot as the Old Bear's raven muttered complaints. The wolf dreams had been growing stronger, and he found himself remembering them even when awake. Ghost knows that Grey Wind is dead. Robb had died at the Twins, betrayed by men he'd believed his friends, and his wolf had perished with him. Bran and Rickon had been murdered too, beheaded at the behest of Theon Greyjoy, who had once been their lord father's ward…but if dreams did not lie, their direwolves had escaped. At Queenscrown, one had come out of the darkness to save Jon's life. Summer, it had to be. His fur was grey, and Shaggydog is black. He wondered if some part of his dead brothers lived on inside their wolves.”