The negative stereotypes about Apple are that their products are overpriced. That you're paying more for inferior technology. That you're paying for the shiny Apple logo, for the slick design, marketing, packaging, etc. I'm not saying I agree but that stereotype is out there. Buying Beats does nothing but amplify that perception. Go to any tech site and you'll see comments about how this fits in perfectly with Apple's business model (selling overpriced hardware). I'm trying to understand why Apple sees a future in selling crappy headphones for huge markup. If Apple really wanted to improve the quality of the audio in their products buying Beats isn't the way to do it.
But maybe this isn't about the headphones or Beats brand, maybe this is Apple signaling that Eddy Cue has too much on his plate or isn't capable of taking iTunes where it needs to go.