aha! so you've stumbled upon a gaping hole in the grain-free dog food marketing mumbo jumbo!
There is nothing about dog physiology that makes potatoes 'better' for a dog than grains.
on the contrary, grains are generally more nutritious than potatoes, even for dogs.
From a glycemic index perspective, the grains used in the better dog foods score better than all potatoes, including sweet potatoes.
"grains and wheat are allergens for dogs" is a self-serving and disngenuous half-lie on the part of premium and grain free dog food marketing.
The most common dog food allergen by far is protein.Most dog foods primary protein source is meat.
There's nothing about dog physiology that makes the protein in corn, soy, etc any more allergenic than the protein in meats.
Hence, if your dog is allergic to its food, it is most likely allergic to protein, which presents a challenge. It's usually not nearly so easy as just switching to a grain-free food