Good question. Let me rephrase slightly to say these jobs are highly accessible if you put in a couple years in consulting or have an MBA from a top 3-5 business school and leverage that experience immediately. You have to really take the plunge and can't treat them as a side gig while continuing to practice EM more than 2-4 times a month.
There's a whole ecosystem of VC and PE backed healthcare businesses that need real physicians in medical director or CMO roles, growth/strategy roles, etc. There's also a ton of similar jobs at established healthcare businesses, whether life sciences, med tech, services, IT enabled services, etc. Companies Alphabet, Amazon, Apple, etc have been hiring 100s of docs in their healthcare verticals. Once you establish yourself in this ecosystem, you become a known commodity and more doors open up to you. I wouldn't even bother looking at hospital admin roles or CMG leadership jobs.
I'm not saying there's enough of these jobs for every EM doc out there but there's no shortage of opportunity for a practicing doc that positions themselves well with the right skillset. Sometimes this requires a pay hit out of the gates so the sooner you make the transition the better.
I probably get outreach from 20+ docs looking for alternate career paths each month. Some can't stomach the risk or want to work less not more, in which case, I don't recommend they go down this path. For others they look at it as an investment in their long term careers, in which case there's usually a few routes they can take to get to where they want to go.