If I search for something on a search engine, I am trusting the operator of that to filter and down rank based on their own criteria, whether that's baidu, yand

If I search for something on a search engine, I am trusting the operator of that to filter and down rank based on their own criteria, whether that's baidu, yandex, Google or DDG. It's completely reasonable for a site who's job it is to filter and aggregate results to penalise the spread of misinformation. If they don't, why am I using it at all?