Not exactly.
There is an ASA representative on the AAAA board of directors. They represent CAAs just like the ASA represents physicians. There are a number of CAAs serving on ASA committees as well as the ASA-PAC board.
The ARC-AA, the accreditation group for CAAs, has an equal number of CAAs and anesthesiologists on their board. That group is educational program accreditation oriented only.
The NCCAA, the certification group for CAAs, has a couple docs on their board. They only deal with certification issues.
Medical direction or supervision of CAAs is covered under state law and CMS regulations. Unlike CRNAs, each state that licenses CAAs has a maximum supervision ratio of 1:4. It's up to each practice/hospital how they want to manage their CAAs and CRNAs, but for medical direction it can't be higher than 1:4. CAAs only function under medical direction, so if the ratio is 1:5 or higher, that practice is using medical supervision billing or QZ which is not possible with CAAs.
No board or organization of CAAs (or the ASA) has the power or authority or ability to change state or federal law with regards to CAA practice or medical direction laws or regulations. And we don't want to - commitment to the Anesthesia Care Team concept is fundamental to the profession. We believe it's the safest mode of practice. It doesn't mean we're a less-qualified provider than a CRNA.