Their statement only seem bizarre when you view it from the perspective of individualism. Another way to look at it is - let me (ab)use Star Trek quote: "The needs of the many outweigh the needs of the few". You seem to make absolute statements that in fact are relative and rooted in one ideology you chose to follow.
> If a provider's or facility's (or entire speciality's) numbers look bad, that's important information for the consumer to possess. Hiding the numbers should not be an option.
Forgive me the harshness - I believe this is a simplistic way of looking at the problem. OP clearly showed systemic forces at play, and those are important to consider. You're saying "hiding the numbers", as if they were perfect numbers hidden away in a safe. Problem is there are not, and even when they might be very nuanced. A point raised by OP: "best providers (particularly surgeons) will engage in metrics arbitrage by refusing to treat patients" - I think it is a perfectly reasonable threat, which you chose to ignore.
> Or do you think that car crash test results, and airplane crash data, and health department inspection findings should also be kept secret?
Again going back to OP's example - doctor's might be incentivised not to treat patients which make their numbers look bad. None of your examples share similarity in this sense (and possibly in many more).
If your concern is with metrics arbitrage, then it is not necessary to use quantitative metrics to satisfy concerns about bodily autonomy. One might instead require providers to furnish anonymized records of all the adverse events their patients have experienced, along with any mitigating factors they think absolve them of responsibility.
I think the issue of quantification is actually a red herring. A simpler example will indicate whether or not there are differences in our ethical intuition. I am scheduled for a "routine" surgery, but yesterday's patient who was having the same surgery by the same doctor had a major artery sliced, bled out and died. All the staff are aware of what happened, but no one tells me. In fact, even if I ask, people are instructed to say nothing. If I possessed this information, I would almost certainly decide not to proceed. I go ahead with the procedure based on the understanding that death is a much more remote possibility than those treating me happen to believe. Is this or is this not a violation of my bodily autonomy?
If it puts out of business doctors and facilities (perhaps even specialties?) whose patients agree to care based on grossly inaccurate understandings of their track record, then it would more than pay for itself.
You have hit upon the core problem though. Outside of a few limited areas where we have clear evidence-based medicine guidelines there is no reliable quantifiable standard for measuring provider quality.
If a provider's or facility's (or entire speciality's) numbers look bad, that's important information for the consumer to possess. Hiding the numbers should not be an option.
Or do you think that car crash test results, and airplane crash data, and health department inspection findings should also be kept secret?
More problematically, if you can't articulate a quantifiable standard that will indicate a provider's quality level, then then entire concept seems ill-defined. I.e., when you refer to the "best providers", what does that even mean?