Why do you think that an ethicist can clarify this question?

There is no simple answer to this question because there are multiple rights, duties and interests involved. In addition to the well accepted right of the patient to be informed about the medical options and risks, there are rights to privacy and to something like "profiting" from your appearance, behaviour(s) and "story". As well, it is far from clear how "informed" a decision on these non-medical elements must be, and who would have an obligation to provide the information. Further, the medical professionals presumably have a primary, even overriding, obligation of caring for the patient, and this may conflict with other interests or even obligations furthered by live broadcasting. I assume someone would benefit (or be thought to benefit) from such a broadcast. Are these benefits of a type or kind that we would be justified in encouraging in medicine, broadcasting, entertainment, education, or whatever? The answers to these questions are going to be highly variable, depending on the individuals, the surgical procedure and whole of the circumstances. And I'm pretty sure that if a group of medical professionals, philosophers, lawyers and actual patients sat down and talked about it, they would discover other concerns and issues.