"Music"? You might as well have listed "smartphones" or "desktop computers". I don't think a 12 year old business counts as a "throwing things against the wall" situation.
Apple Music in its current trial iteration is new. The argument could be made for or against any of their new endeavors being a "throwing things against the wall situation". We are on the outside looking in so we can't really know for sure how and why all of these rumored or known endeavors are going to fit in with the Apple brand. I just know that the rumors are coming in fast and involve an interesting mix.
So far Apple hasn't been rumored to be undertaking anything that couldn't fit in comfortably with their brand with sufficient effort and planning. It's not like they're getting into delivering Halloween costumes while building cell phones like Amazon.
Now Amazon is a company that's become one big scary blob with no real identity. Some beloved local businesses in my region went under because they couldn't compete with Amazon, which has gotten into everything. Well, I'm not here to complain about Amazon, or Apple for that matter. There has been a lot of insightful commenting and speculation in this thread and some humor, too. I don't intend to take away from that by injecting any negativity.
I just hope that through it all, Tim remains cognizant of the fact that Apple has a unique identity and a lot of good will built by Steve. And that's as precious as hoards of cash and must not be squandered. The hoards of cash were built on the foundation of Apple's reputation as a company dedicated to giving us a better experience of their products than other companies give for their products.