I was just looking at the Android version of the app right now and WHAM it hit me! Apple now has a streaming music service AND a music purchasing service on ANDROID. Right now. Just like that, without acknowledging the market presence (dominance?) of Android as would have happened if they had released iTunes for Android. I think that was their game the whole time.
While long term you may be correct (and I would be happy to see this), keep in mind that Apple is GOING to buy Beats. It won't be a "done deal" for several months. After it's done Apple could remove the Android App or could even request Beats remove the App in the interim (again I would be happy to see it supported).