Isn't 'Cuda a model, not a nickname?

JoeSBP said
Don't worry, if you have a real Cuda, people will call it a Cuda.
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I hope people don't call my car a 'cuda .....it's a 1967 notchback, so it is not a 'cuda

But i am rather fond of big back window Barracudas and i hope to find a 65 Barracuda someday.