I would think that whenever the "clear cookies" command is given to a browser, it also clears the FloC ids. Is that not the case?
You just might be right. If you clear the history, the FLoC machine will have to calculate the cohort ID afresh. There are other use cases for this as this form of identification can be manipulated. Don't want to see cat ads anymore, google more dog memes next week.
Not at all.
My browser deletes cookies from any website (by default) as soon as I close the last tab for a given open site.
If the browser itself starts tracking me, my privacy is reduced, not enhanced.