D&D either really hate Jon as a character or Kit or they are terribly writers.
I do think that Arya will have a role in defeating the Others in the books. Her character is heavily involved in the magical/fantastical elements of the books and her character is closely connected to the North, weirwoods and warging.
But the thing is that in the books, characters are not restricted to just one plot/arc - they are multifaceted, complex, change and adapt to the situations around them. By the time we get to book 5, Jon is more involved in the Northern politics and plot than with the story of the Others/AOTD. He is busy plotting and strategizing with Stannis against the Boltons, conferring with mountain clans, playing the game against the Karstarks, there's a will that makes him KITN and he finally basically destroys the NW as an institution by going to war against Ramsay to save his sister. Jon's very politically savvy knowing the ins and outs of the Northern houses.
The battle of the bastard in the books is most likely going to be a straightforward battle between Jon and Ramsay considering there are going to be direwolves involved - not a showcasing of how Sansa is now a 'boss-ass bitch' like on the show and had to help poor idiot Jon out.
D&D on the other hand restricted Jon solely to the NK/AOTD plot, turning him into a political dunce/idiot and gave over the Ramsay/North plot to Sansa - because her book story in the Vale was not that interesting to them and they openly stated how Sansa is their favorite character and they wanted her to have a more important role on the show.
Okay fine. At least Jon still has the AOTD/NK story right? No actually. They had to justify Arya's 2 season FM arc and had to subvert expectations, so Arya was going to take out the NK and let's finish off the AOTD in an episode and make that entire plot irrelevant and all Jon gets to do is swing around a sword. Jon was ultimately wrong about this threat and the humans fighting against each other was more important.
He was a bad military strategist on the show because as per D&D all his plans had to fail otherwise it would be 'kinda dull' in their own words.
What about Jon's parentage? R+L=J? PTWP? Howland Reed, Lyanna and Ned? Is any of this important for Jon as a character? No, all that is only relevant in so far as to make Dany paranoid about Jon even though noble, unambitious idiot Jon tells her he is not interested in the throne.
Any of his relationships that GRRM build up in the books important? lol, no. Arya is now Sansa's best buddy and basically told Jon that Sansa's family and he better watch out or else. Ghost? Does not even get a hug because who cares. Dany? Don't really know because it's so badly written and rushed.
They basically stripped book Jon of his characterization, story, plot, narrative themes, everything and reduced him to a plot device for other characters. By the end, it was Sansa who was making all the decisions up North and doling out military advice while Jon just stood there like a dunce. He ultimately did nothing, achieved nothing and contributed nothing to his own story on the show. An absolute waste of a character.