Google has been the dominant search engine for a solid 12 years. They have a practical monopoly. They're under constant anti-trust scrutiny - of one form another - in all of their major markets. And you think they're going to start taking advantage (as in particularly egregious behavior) of their position soon?
No need. It's generating $23 billion per year in operating income and growing. There are no serious challengers. It's far more likely their search engine will be constrained under piles of government oversight in the coming years. About the time governments start worrying about products like this in tech, is about the time they're just beginning to become less central. The exact same thing happened to both IBM and Microsoft.