AMAZON needs to be very careful in what direction they take this, if rumors are true.
Ouya has already taken the plunge and the results were not in their favor. People have already probably forgotten of Ouya's existence on store shelves now (I know I have, until I started typing this) It has basically been proven, that mobile games & apps on a tv just aren't what people want for their gaming needs, especially those weekend gaming binges
Yes Amazon has the $$$ and resources to improve upon Ouya's mistakes. They may also want to take a look at nVidia's Shield and take the pros (can also stream your STEAM games) and cons (nobody is not paying $300 for it, when there is a PS4 thats $400 right around the corner) from that as well.
If Amazon were smart, they would target the 3DS & Vita and go after that market. A smartphone that has a 5" screen or so. But it drops into a casing that has controller button layout. And the device goes into "game mode" when encased.
Shield and Ouya did the stupid thing of releasing, when the X1 and PS4 are right around the corner, and thought that they could steal the thunder from Microsoft and Sony respectively. The PS4 and X1 aren't even on store shelves yet, and their buildup have already drowned out Ouya and Shield.
Mobile devices need to target handhelds not the big boys.