No, you can’t copyright a duck... but you could trademark a specific duck.
Daffy Duck, Donald Duck, Oregon Ducks, Duck Commander.
I can understand Duckhorn’s worry about being overshadowed by a more famous and popular Duck, but they can’t own the exclusive use of the word.
That sounds awful insecure of Duckhorn, who boasts an upscale product. This isn’t drugstore wine?
A salute to the redneck craze would probably be a fitting answer. “Duckhorn Redneck” and the label duck would be wearing a camo bonnet or something humorous like that.