A therapy dog is not a type of service dog.
Therapy dogs are trained, registered, and insured by a therapy dog program. They visit institutions such as hospitals, schools, and nursing homes, only when invited, for the purposes of cheering up or educating people in those institutions.
A person with a therapy dog has no right to demand access to places where pets are not generally permitted, or to have pet fees, such as deposits, waived. They must have permission from the facilities they visit before they can enter.