Don't be evil, Google
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https://www.tomsguide.com/news/chrome-google-site-data-special-treatment
If you set Google Chrome to purge all website cookies and site data when you close the browser, it nonetheless keeps the site data for two specific websites: YouTube and Google itself.
So says Mac programmer Jeff Johnson, who documented the naughty behavior in a blog post earlier this month (as earlier reported by The Register).
"Perhaps this is just a Google Chrome bug, not intentional behavior, but the question is why it only affects Google sites, not non-Google sites," Johnson wrote. "I've tested using the latest Google Chrome version 86.0.4240.75 for macOS, but this behavior was also happening in the previous version of Chrome. I don't know when it started."
To set Google to get rid of all site cookies and data every time you quit the browser, go to Settings, then "Privacy and security" and then "Cookies and other site data" and then toggle the switch labeled "Clear cookies and site data when you quit Chrome."
In theory, this should work on all sites. But according to Johnson, it doesn't.
"Chrome exempts Google's own sites, such as Search and YouTube, from this setting," he wrote. "After I quit and relaunch, the [YouTube] cookies are deleted, but the database storage, local storage, and service workers are still there!"
He found the same behavior related to Google.com, but no other websites.