Interesting idea. It would be useful to understand how health outcomes vary for patients of doctors with various levels of pre-med accreditation.
In Canada, not all medical schools require that the prerequisite undergraduate degree be earned in a STEM field (though students contesting the MCAT are certainly better positioned if they have a strong science background).
A similar case could be made for many professional certifications--law, business, communications--because students don't explicitly need undergraduate studies to be able to complete the programs. However, to a large extent extent, personal maturity and life experience factor into the ability of professionals to carry out their work effectively and efficiently, especially in fields where work tasks are heavily EQ loaded.
IMO, an argument could be made in favour of such programs requiring a certain amount of meaningful life experience (e.g. entrepreneurship, work experience, patented discovery, full-time volunteering, post-secondary education, etc.) as prerequisites to the core studies. This is the challenge with developing cookie-cutter accreditation programs, because individual experiences, maturity, EQ, communication skills, and technical qualifications vary substantially.
