I'm not sure why they call it "Greek Chili." We have a large Greek community in Tulsa. Most of the places that sell coneys are owned by Greeks. I have tried most of them. One thing they have in common, is that none of them use tomato products. Some are pretty good, and some, the chili is only edible if it's on a dog and bun. Coneys have been a Greek thing for a long time, never understood why. Kind of like Gyros. The worst Gyro I ever ate was in Athens Greece. It was actually pretty good, but I have had better here in T-town.
I have a good recipe on Cincinnati chili and have been wanting to make it for a while. I think the way the meat is cooked is pretty interesting. I even heard of people using coco powder.