Khachapuri was certainly known but hardly could be ordered anywhere outside few large cities or Georgian SSR. Most people who knew about it have never tasted it (as is still the case with me).
Oh and they'll also ferment + distill the solids from wine production into chacha - a strong clear spirit. When I was there lots of little shops would be selling it pretty cheap in leftover coke bottles etc. I smuggled a few back with me to share with friends.