The website makes effort to please Google because Google is the user's freely chosen search agent. If the users en masse chose Bing or Oath/Yahoo or DDG instead (or in addition), the website would make effort to please them instead.
Nothing you’ve said contradicts the argument that they have a monopoly over websites. The fact is, is that people once chose their search engine and today they no longer make that choice even if they have the ability to exercise it.
