Côtia is one of a few cultivars producing figs which are normally dried on the tree but not exclusively.
The process you describe is common to all dry figs to insure the fruit is absolutely clean and it is followed along the Mediterranean basin on all fig producing countries .
In Portugal (old days) in every farm house there were a wooden chest to keep the dry figs for winter.
The best varieties, black and white, after dried and cleaned, were roasted in the clay bread ovens and after cooling off , laid on that chest by layers having as a separator, some green branches of fennel.
Francisco