GLS;
What you call the semi-skillet in the part of the South I'm from we call a cornbread baker. Thin crusty Corn Pone bread is baked on it, my favorite type of cornbread. It's really good with some Jalapenos chopped up in the batter.
You can find these at Lodge, down here in South Pittsburg TN, just off !-24 north of Chattanooga. I still have one of these (Brand unknown) that belonged to my Grandmother, but the handle was broken off long before I had dealings with it. It had belonged to my Father's Mother, but she gave it my Mother after her & dad married. I've eaten a ton of pone bread made on that ole baker.

Miller/TN
I Didn't Say Everything I Said, Yogi Berra