Nope, a little sunshine would not help promote higher quality acute care hospitals. Not at all. Those hospital inspection reports performed by private accrediting agencies are "not set in any context to promote public understanding" according to the American Hospital Association.
You see, knowing almost nothing about what the accreditation report by the private accrediting agency says about a facility's quality is definitely a way to enhance public knowledge about accreditation and the role of the Joint Commission in oh-so-rarely calling acute care facilities to account.