Does your school own and run AICPA? PADI sets the standards for the "school" that certified the instructor and requires dues be paid to PADI, the "school" that certified the instructor and supposedly oversees their instructors. SSI, NAUI, SDI etc, the same.
I'm not positive I understand your question so forgive me if I got it wrong. No, my university does not own or run the AICPA. My scuba shop doesn't own or run PADI either, does it? The AICPA certainly sets standards on how accountants are to practice and they require dues be paid to them in order to practice as a CPA.