Except that Google has to pay Apple $12 billion a year to remain their default search engine, a price that has increased every year.
What chrome did by training users to enter their searches in the address bar (via the default tab’s fake google search box which moves the cursor to the URL field) was stupid, expensive, and probably undermines Google’s ability to be a destination web site in the long term.
At this point, the overwhelming number of devices are not Google’s. There is no reason to think that in the future they will be. After this anti trust stuff their influence over android may be even less than it is now.