Is it as simple as "I want to turn the LEDs around my tv on and off from my home automation" ?
No, not at all. I could use the android remote control (as you pointed out) for that purpose.
Short answer: I would like to be able to run Hyperion on android instead of RPI. Basically because I will have to get an Android powered machine to run the Broadlink RM2 bridge (to be able to replace my smartphone). That being the case, makes no sense to me having to buy a RPI just to use Hyperion.
Perfect use case for me: get an Android TV box (Beelink or Wetek, for instance) to act as a home automation server and mediacenter, and run Hyperion. I would probably have to get an EasyCap grabber to input data to Hyperion but that shouldn't be a problem either.
A couple of years ago I installed a Nexus7 on my car's dash. It was quite an extensive and complicated project. The tablet would actually turn on when I turned the ignition on and go to sleep with ignition off, among some other interesting features. If there's something I've learned with that project is that (nearly) nothing is impossible with android. I'm guessing other people would be interested in this and I was actually quite shocked I couldn't find much on the subject.