Indeed, even to return to one of the examples I used, the four Gospels of the New Testament are 'Canon' but contain different tellings of the life of Christ, each varying somewhat from the others.
And just like in Trek Fandom, there are many Christian theologians who will go through great pains to show how don't really contradict each other, tell the same story and fit together perfectly. The same is true of other religious canons, such as the canon of the Hebrew Bible/Tanakh, which--to cite one example--contains two differeing accounts of the creation of mankind.
"Canon is only important to certain people because they have to cling to their knowledge of the minutiae. Open your mind! Be a Star Trek fan and open your mind and say, 'Where does Star Trek want to take me now'." - Leonard Nimoy