Maybe Ubuntu GNOME should install this by default, but I'm leaning towards not doing it for Ubuntu 16.10 because:
1) The release cycle is nearly over
2) Ubuntu GNOME does not install Chrome/Chromium by default
3) This is just the connector. The extension still currently requires manual installation from the Chrome Web Store.
By the way, I believe GNOME Software 3.22 (which I think there's a reasonable chance we'll get for Ubuntu 17.04) will have integrated install of extensions from extensions.gnome.org.
Maybe Ubuntu GNOME should install this by default, but I'm leaning towards not doing it for Ubuntu 16.10 because:
1) The release cycle is nearly over
2) Ubuntu GNOME does not install Chrome/Chromium by default
3) This is just the connector. The extension still currently requires manual installation from the Chrome Web Store.
By the way, I believe GNOME Software 3.22 (which I think there's a reasonable chance we'll get for Ubuntu 17.04) will have integrated install of extensions from extensions. gnome.org.