In no way, shape or form did I imply that we would NEED supervision there, in the case of an emergency. I have to take several courses and simulations in crisis management, to teach the academic side of the "5%," and that's what clinicals are all about.
Yes, there may be differences in opinion at times, regarding treatment, but I'd venture to say you may be overgeneralizing. I'd find it hard to believe that the discrepancy in anesthesia plans is higher than a couple percent. If it is, there's a clear discontinuity, which is not good.
In either case, be it MDA, CRNA or AA, the morbidity rates are relatively low (per your argument), which leads me to believe that there may be times where that is the case. But more often than not, it doesn't matter who's calling the shots. This coincides with what I've observed so far.
So, let us conclude this by agreeing to a difference in opinion. You value your independence, that's fine. I don't mind in the least of being a part of the anesthesia team (and have a supervisor) - that should be OK too (meaning that this AA vs. CRNA is noise). Same job, different backgrounds and sets of rules - nothing wrong with that.