I was able to do some more testing as well, and it seems to be the "content-prefs.sqlite" file that affects the setting (tested in Firefox version 103).
When running CCleaner with the "Firefox" "Site Preferences" option checked, it resets the "browser.content.full-zoom" property that's in the "content-prefs.sqlite" file. After, if I manually restore a backup that I previously made of the "content-prefs.sqlite" file, it restores the Firefox global "default zoom" custom setting that I had previously set.