I'm a former MD with experience in both hospital medicine and general practice. I have also worked in tech for the last two decades - teams with fewer than 5 and leadership roles in the C-suite leading hundreds of people. Multiple product launches, brand launches, board meetings, product outages and crises ... you name it, we've all seen it. Nothing in tech comes even close to the pressure of watching someone die and trying to save their life, knowing that what you do really will make a difference. Or telling someone that they have cancer and have a few months to live. Giving someone a diagnosis of HIV or diabetes. Being the sole resident in a rural hospital late at night with hundreds of sick patients, your beeper constantly pinging you and it's not because you forgot to upload the deck to Dropbox ;) In the past I have sometimes said in tech, when stuff looks really hard and people are melting down "Hey folks, take a deep breath. This isn't brain surgery. I know, because I've assisted in brain surgery." So the first assumption I'd challenge is that a hospital environment is rigid - in my experience it's anything but that. Some further thoughts:
Practicing medicine is a real privilege and the intimacy of the doctor/patient relationship teaches you a tremendous amount about people, what motivates them, what they are afraid of, sometimes hearing their closest secrets. You also see patients and their families at what are sometimes the most awful moments in their lives - and if you pay attention and look and listen, you learn so much from being on the journey with those folks. I have many, many times working in tech teams small and large drawn on my professional experience as an MD. I have met many people working in tech especially here in the Bay Area who live in a tech bubble, haven't had broad life experience, really don't understand how to motivate and manage but who - dangerously - think they know much more than they do and they are empowered by their arrogance or by a failed company culture. Instead I find it much more interesting to have team players who have vastly different life experiences and when I hire, I'm always looking for the stuff that's "off the books" as it were. What do people bring to the game apart from their domain expertise. What formed them as a human.
On the more intellectual side, doctors are trained in the scientific method and diagnostic and therapeutic medicine is basically a big-data problem with a relational database of symptoms and signs and investigative results that you carry around in your head. You are trained to do probability analysis and pattern matching on the fly. You form hypotheses and then do experimentation to see which hypothesis is valid and which can likely be discarded. So whilst I have no CS degree and I am not an engineer, I have often found common cause with engineers and PMs in the way they think about problems. As a humanist, seeing how "ordinary" people are sometimes so mishandled and confused by the experience of being a patient, also makes you a better product manager and sensitive to product design and user experience issues.
I hope that is helpful and happy to chat to you or your founder offline.