The franchised store is a store operated by an enterprise or individual with a registered trademark, which is self-operated or authorized to operate in its capacity.
Authorized specialty store means that all products in this store can only be authorized brands, and other brands are not allowed. Authorized dealers not only sell products of this brand, but can also deal in products of other brands.
There is also a clear difference in the final rebate amount. The former is a specialty store and can only accommodate this brand, while the latter has the right to sell products of other brands.