Lyn's section of the game was actually my favorite, tutorial or no tutorial. Storywise, that's where everything felt best, to me. No dragons or demons coming to destroy the world. No armies of fifty units to choose from and command. Just a small, ragtag group, setting out to right a wrong and save a few precious people. I know full well that I'm vastly in the minority here, but alas, some things cannot be helped.
Also, including Lucina, Lyn is still my favorite female Lord in the series.