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Not sure, as I think they were mislabeled when I got them. Supposedly "medusa," but they look different than ones I had grown previously.

I would say your right, medusa's are usually longer and slender more like a cayenne. They look like the Thai chili's that I grew last year. 2 plants made more than I could use last year so I didn't plant any this year. (1.5 ristras left)
If it is the Thai you will probably like them, they are hot, very close to a habanero with a chili taste. Probably hotter than the TM pepper, lol