There was a google edition tablet called the Motorola xoom, look at how that worked out...
The Xoom commercially failed not because of the hardware/device itself but for the following reasons:
1. Honeycomb 3.0 was extremely buggy, laggy and missing some important features.
2. There were almost no apps which took advantage of the screen size and tablet layout - i.e no tablet ecosystem.
3. It was fatally over-priced when compared to iPad
4. There was no established Android tablet market at the time (aside from a few notable hacky stop-gap products).
The thing was, the Xoom got better and better with every Android release and by Jelly Bean it had massively improved and was a very nice tablet with a great range of apps. (although with slightly outdated hardware).
Finally, Xoom was in all ways but name a Nexus device. Unlike the GS4 and HTC One Google edition devices, Google had a large amount of input into the hardware specifications and features and worked closely with Motorola throughout its development.
With these things in mind, I can't really see a single way in which bringing up the Xoom is relevant to the current discussion at all.