I watched the videos three times and can only come up with that he is having minor seizures. My Hank had moderate seizures for a few weeks and we found that they were due to low sugar, so easy to cure. As soon as Hank would start seizing I would put him in the oxygen box and he would recover in 30 min.s or so.
Your Toc really needs an xray, CBC and Chem panel. Anesthesia is a slam dunk nowadays and my birds have been anesthetized many time with no detrimental effects. Having those tests will most likely give your vet a direction to go in.