The reason why streaming music is taking over is because radio is crap. Seriously, if you don't like hip hop, pop, country or classic rock, there are -no- stations other than that anymore. If you have musical tastes other than that, too bad.
You could easily write that as: "If you have musical tastes that aren't the same as the majority, too bad." But that's pretty much expected, right? Imagine liking orchestral music when big band took off. Just because you don't like it doesn't mean it's "crap". A lot of people like Miley Cyrus and don't care if it's not skillfully performed music. Radio, like any limited-spectrum broadcast medium, caters to the majority.
If dislike in radio genres was substantial enough to impact the music industry's bottom line (via "switchers" to streaming media) the radio stations would adjust accordingly.
I think what is increasing demand in streaming media is availability, ease of use, and cost. The state of streaming "Internet radio" 10 years ago was pitiful. Since then we have standardized technologies, better quality, and (however grudgingly) music label support. Along with reasonable costs (free in many cases!), increased access to high-bandwidth Internet connections, and more legitimacy in not owning physical albums, tapes, CDs, etc. streaming becomes a viable media delivery method.