Google Video was an actual product, competing with Youtube. When they decided to acquire the much more successful Youtube, its brand already had a lot of value and recognition, so it survived.
Yet they applied the google name to nest? Android remains without a google moniker (other issues there).
Point being that google has quite a few inconsistencies in their naming (which is a thing in itself) and their not applying Google brand to Waymo at this point is any indication.
https://en.wikipedia.org/wiki/Google_Video