Respectfully, please, this below is an absolute joke--has it changed in a decade?
Image: Apple provides easy changing for Google, Yahoo, Bing, DuckDuckGo, and Ecosia. (That poor paid search engine that starts with a K has to mess around with extensions; I'm unaffiliated.)
Plus, even though I have it set to DuckDuckGo, when I ask Siri to "search {query}", it searches Google. So even the default I have set is not actually truly the all-around default. Embarrassing to have locked this down as if I didn't drop a grand on the phone.
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Fun fact: for years now, asking Siri to "search Google Images" results in whitelabeled Bing Images (thankfully, exceptionally easy to remedy with the excellent Shortcuts: "Picture-Search" for Google, quality difference night & day unfortunately... anyway go SearXNG!, it lets you keep your soul).
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Oops btw I said “exceptionally easy to remedy” when that isn’t true because I can’t say “{shortcut name} {query}”; must be two separate commands. Not first class unless I want Bing Images hehe (“search images {query}”, single dictation to Siri).
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.
I think I remember Kagi was working on a way to allow users to create an anonymous account and if so I'll have to take another look at them.