Hi, supertivo, thanks for your post (and welcome to the forum!)
I can say that muhlama is not familiar to me, but I love corn meal called "mamaliga" (I think this name is adapted by Hamshentsi's in Abkhazia from Moldovans / Romanians). My grandmother makes a real great mamaliga which we ate with madzun (yogurt), suluguni cheese (a mozzarella-like cheese) and melted butter.
Here's how we ate it. Grandma prepared it early in the morning, the whole family would gather at the table and share it. Each of us would make a little deeping in the mamaliga (we called it simply jash which means "a meal" in Armenian). Preferences vary: some of us would take a spoonfull of melted butter and pour it into that deeping, others would put madzoon into it. Underneath the thick layer of the meal we would put rather thick slices of suluguni cheese. Just a combination of all these things with all their flavors makes me salivate
Of course when the cheese melts it is such a fun to take it from underneath and eat it as if it was a chewing gum
Then, mixing cold madzoon with hot meal and butter is also a very tasty thing, I tell you.
Perhaps you are describing a Rize variety of the same meal?..
Thanks for your posting the picture too!..