Well, well, well. Google has admitted something very important.
https://news.itsfoss.com/google-chrome-incognito-mode/
Google Discloses That Incognito Mode in Chrome Isn't Entirely 'Private'
Google is informing users what incognito mode really is...Ankush Das (It's FOSS News)
التنينوكس
in reply to It's FOSS • • •Did you really think incognito mode or private mode made you anonymous on the internet?
Google simply clarified this for you and other who had the same impression as you.
Firefox says this: