I know physicians who have sent loved ones to Vanderbilt when they thought they needed care that couldn't be provided in the patient's community.
On the other hand I wouldn't go to Vanderbilt, but I wouldn't go to any academic medical center. I don't think care from residents and students are in my best interest as a patient.
Both of those are opinions not evidence.
Unfortunately we can't get real data, because the medical community has convinced congress that incident reports are proprietary information so hospitals don't have to reveal this information.
I think that all healthcare organizations should have to report every near miss and every mistake to a national database, so that they can be studied.
By law every single cancer diagnosis gets reported to a state database and that information gets uploaded to a national database. The patient's name, address, ssn, diagnosis, occupation, marital status, treatment, health history, etc. is shared so that researchers all over the world can use the data for research. Because of pressure from the medical community, congress weighed the right of a patient for medical privacy against the best interest of society and decided that cancer patients don't get privacy.
Why should hospitals have more privacy than the patients they care for?
The only way to improve care is to study it, but that is not likely to happen and hospitals all over the country will continue to conceal their flaws.