I believe just such a conflict of interest scandal, of board members jumping the queue was widely reported a few years ago at a downtown hospital. SARS scare I think was involved. As I recall, the hospital's existing policies were judged ineffective and were then tidied up. There will always be a justifiable impulse to accord better service to the donor, or anyone we're obliged to, or looking for favour, and the possible transactions where that impulse pushes fairness aside are infinite, and impossible to define. It's why our Mayor is now in so much trouble.
When it comes down to cases, we really have to trust mostly in the integrity and sense of duty and fairness to all of the people we place in those positions of trust. To answer your specific question with a question: Is Peter Munk asking for better care than the homeless guy, or is the staff choosing to favour him?