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).