I'm very interested in Google's new Live TV app as well since it looks like a good means of marrying OTA channels with other OTT channels in one EPG.
I believe that Tablo would have to modify their app to integrate with the Google Live Channels app, probably using some of this framework: https://source.android.com/devices/tv/index.html.
The best I can find is that "So far, HDHomeRun and Pluto.TV are the only sources that support Live Channels. But Google said last week that it will be adding several more sources soon, including Huffington Post Live, Bloomberg TV, AOL, and Vevo." Source: http://www.techhive.com/article/2931763/attempting-a-minimalist-living-room-with-shield-android-tv-and-hdhomerun.html
There also doesn't appear to be the ability to record via Google's Live Channels app. Here's the Android TV app: https://play.google.com/store/apps/details?id=com.google.android.tv&hl=en