My understanding is that it’s a lot of different names for the same thing.

he was a handsome fella, the one I had.

this is him when I first got him. He developed some decent facial additions as he aged. Unfortunately he was not a very nice bird to anyone else and was separated into his own pen, where something ate him.
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your girl looks to me (by no means a Muscovy expert) to be mature; her caruncles look normal to me but again, I don’t have extensive knowledge of them, just the few I’ve had contact with through work or friends. She definitely is a bit blockier than the other ladies, and has more pronounced caruncles. I wonder if it’s also partly her colouring that makes them pop more than on the white ladies.