I do not agree. They don't necessarily need to control the mobile platform, but they do need access to the distribution channels.
Witness how Apple replaced Google Maps with their own solution, even before their solution was good enough, as if they couldn't wait to get rid of GMaps. At some point not so long ago, they also threatened to replace Google's search engine with Bing by default. In 2009 Google Voice was also rejected from iTunes because it was "duplicating existing functionality".
Google is basically playing Microsoft's own game from the nineties - controlling the platform makes them a valuable distribution channel, ensuring not only their survival, but also giving them leverage in expanding to new markets.
Google is bigger and much more dangerous today because of Android, which IMHO is vital for them going forward.