I'm a dedicated iOS user and don't own any Android devices, but you're quite right. Google's objective with Android was to ensure that there would always be an open mobile platform with a standard browser and access to Google services without a platform gatekeeper getting in the way. Mission accomplished. The mere existence of Android keeps Apple honest in a lot of ways.
Because their goals are different, Apple and Google can both win in Mobile. Android's success hasn't stopped Apple becoming the most valuable company in the world and Apple's success hasn't stopped Android serving many market segments Apple has no interest in addressing. As consumers, regardless of which platform we prefer, we've all won.