Precisely. If you have an advanced degree and are considering consulting, my advice is to apply for consulting jobs, not b-school.
Advanced degree holders are attractive to consulting firms and it's reasonable to assume that an advanced degree holder who views acceptance to a good MBA program as likely would be able to interview well, sans MBA. However, the transition from medicine or academia to consulting is not for everyone. Therefore, try consulting if you get the chance and find out sooner, rather than later, if a career outside of medicine is for you.
In the longer term, it's difficult to say how an additional degree at this point would impact your attractiveness to potential VC or biotech industry employers or your effectiveness is the role (whatever it might be) after a few years in consulting.
To speculate: For VC, startup experience might be more important than another degree. For biotech industry, an MBA might not add substantially to your attractiveness to would-be employers if you have a few years of consulting experience and potentially made engagement manager.
My two cents. Happy to hear partner input.