I'm confused.

The "Cuda" name was/is used by the factory to specify the High Performance version of the barracuda model Plymouths. Some people will answer "Cuda" when asked what model of Plymouth they had instead of Barracuda because they don't have a "real" one and they thought it made them sound like they had a "cooler" car than a standard Barracuda. That would be like a guy with a LeMans saying he had a GTO.