@AC it isn't about the likes of Taylor Swift or auto-tuned big names. Their deals are secure.
The argument is over the artists with independent labels, who can't afford to take a quarter year hit on royalty payments.
While she might be doing this to gain some publicity and to make more direct sales (she pulled off of Spotify with her last release ISTR), at least she is making a stand.
If enough big-names pulled their catalogues from Apple over this, they might be able to force a better deal for the indies.