I've been curious about this as a health care worker. The number of times I've looked up a client condition to better help the person I can't count. So is googles profile of me tainted?
Is this really going on? Maybe not, but is it worth it to ignore the risk? Can you just use DDG so it isn't a question?
(except in reality it's less simple than "they know your occupation", it's a huge cloud of data points that an ai makes correlations and assosciations that no human actually knows. It means the searches would also be weighted by indirect things like, not only your occupation but your assosciations. Say you don't have the medical occupation, but your computer makes a lot of medical searches, because your roomate in your college dorm has a medical major etc. And right now, the ais are still pretty stupid and absolutely making a lot of obvious unsafe conclusions, but they also do get more and more spooky every day.)
But this doesn't make it any better. If they did a perfectly accurate job of profiling you, that is not better than doing an inaccurate job.
That much insight is like being married to someone, where they intimately know all your biases and motivations, know all your buttons, know how to manipulate you, know how to weigh any opinions you might express against their knowledge of where you got every idea you ever had,
except it isn't a marriage, and they aren't subject to all that same vulnerability to you, and they aren't even a human but a corporation, and they have this intimate knowledge of everyone not just one spouse or sibling or best friend.