It is a really good point, because in the book the rest of the Watch just kind of begrudging goes along with Jon's plans for the wildlings, and while they're sour and he doesn't make a lot of friends doing it, the whole group doesn't turn on him until he makes the decision to march on Winterfell, which is absolutely against his vows. His brothers then kill him while in tears, as they couldn't allow him to reinsert himself into the matters of the realm. That's not what the Night Watch is about.
His death is telegraphed so it's not as shocking while reading it as some other moments of the series were, but I definitely think you walk away from it with some understanding of the internal conflict. The Night's watch didn't want to kill Jon, they had to.
Jon's death in the show is pretty hollow. Hey, we just have tons of eye witness accounts about an army of 20 thousand wildlings being created by the walkers, but screw that let's get 5 of us together to stab Jon in the back because we still hate wildlings more than anything.
It was lazy. I would call what happened in the book pretty lazy too but not anywhere close to the show.