IF I REMEMBER CORECTLY LIME WAS MADE IN THE ISLANDS BY GRINDING CORAL INTO A DUST AND MAKEING A PASTE IT MAY HAVE BEEN BURNED FIRST
THE PASTE WAS APPLIED TO THE CLUB PUSHING IT INTO THE DESIGNS AND THEN THE EXCESS WIPED OFF AND THE CLUB ALLOWED TO DRY. OVER TIME LIME IS LIKELY TO FALL OUT IF PAINT WAS USED IT WOULD NOT CRUMBLE OR CRACK AND FALL OUT. MOST LIME IS MISSING ON YOUR EXAMPLE SO IT IS LIKELY THE TRADITIONAL LIME. PERHAPS A CLOSE LOOK VIA MAGNIFICATION WILL TELL MORE WITHOUT DOING DAMMAGE.