People that do not understand why Android is free and fail to recognize how Google is using its dominating position in one market to dominate other market should read this "Laws of Tech Economics: Commoditize Your Complement" [1] and here HN discussion [2].
I don't think Google is using its dominant position in one market (search) to dominate other markets in any way other than financial - search pays the bills for developing Android. It's not like Microsoft did back in the day, where dominance in the OS was used to try to force customers to use IE instead of Netscape.
Google wasn't trying to dominate phones or tablets. They were trying to prevent Microsoft dominance in those platforms, because they expected that if Microsoft got dominance there, it would use it to drive all the mobile searches to Bing.
[1] https://www.gwern.net/Complement#2
[2] https://news.ycombinator.com/item?id=17047348