Never seen this. Do you have some kind of browser extension or malware?
Firefox
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I think I only have usual extensions, uBlock Origin etc.
Never had this problem. I'm using Firefox on Windows and Android with another search engine for years now.
Do you still have the Google search engine added? I always fully remove it, since Searx pulls from Google anyways, I don't really see the point in keeping it.
Only when I reinstall not update
Happened twice ~6 months ago, even though I've removed Google from search engines. After that it never happened again. It's annoying but it happened only a couple times so it's not a big deal for me
Interesting. I did a quick search and found these old threads: https://forum.manjaro.org/t/firefox-82-0-2-sets-search-engines-back-to-default/35847/16, https://forum.manjaro.org/t/firefox-keeps-resetting-search-engines-on-manjaro/49260/4. These people have a similar problem, also on manjaro. I don't want to investigate any further tbh.
Nope, never happened to me in 10+ years of usage, except when completely reinstalling after wiping everything.