The state dog is a wash, because the alligator is the state reptile.
I don't think of Tennessee or Texas when I see a Border Collie or a Bluetick Coonhound. People don't think of Louisiana when they see a Catahoula Leopard dog. They have no idea what they are looking at.
Everyone thinks of Louisiana when they see an Alligator. Conversly when they think of Louisiana, they think of Alligators.
Granted none of this is first thought, but when they go there, this is a thought pass that gets crossed.