> Google definitely does not want you to have this valuable capability. If you stop looking things up, then you won't be looking at their search engine, their ads, and their recommendation algorithms.

Google is very interested in knowing about whatever you're interested in, and in knowing when, how often, and for how long you're interested in those things. In addition to looking at their search engine, their ads, and their recommendations, you're also feeding them more and more data about you.