Fair enough. I think I misunderstood your references to the “thought experiment” as being the Oscar character (the topic of this specific thread), rather than this - perhaps because of the structure of the thread, which put the narrative first.
Anyway, I think that your thought experiment portion is incorrect, because it’s not “basic math” that the EO set is larger than the EOh set - because the “new national policy” that decouples health insurance from employment will necessarily have impacts on the universe of employment opportunities as well (with “employment” being a bit of a misnomer, since it’s intended to include non-employment opportunities like retiring early).
That “new national policy” has to be paid for. It decouples from employment, which removes some frictions - but it now applies to everyone, which creates some new ones. EO may end up being smaller than EOh - or close enough in size to not materially matter.
For example, consider Felix. He’s a 24-year-old potter who previously got health insurance from his parents’ policy and had a personally enriching but barely-breaking-even studio where he produced his work. I say “had,” because with the sizable self-employed payroll tax he has to pay under the new national system, he had to close his shop and go work for BigCorp (which he hates, but it pays him enough to cover his expenses now).
There’s also Grover, who had retired at 67 and was happily covered by Medicare. But now Medicare is gone, replaced by a massive VAT, and Grover had to re-enter the workforce against his will because his retirement savings aren’t enough to cover expenses where everything costs 20% more. He’s now working at BigCorp.
His buddy Bosie was a 58-year-old volunteer at several community organizations, having worked at a private company in a union job that provided significant private health care coverage on retirement. But he too was forced to give up what he loved doing once the VAT kicked in and he had to go to work at BigCorp’s retail wing as a greeter.
Felix, Grover and Bosie had their “EO” set limited by the significant financial consequences of paying for a universal healthcare system. We can’t assume that the EO set is bigger than the EOh set, because there are a fair number of jobs (and perhaps an even larger number of “non-jobs” like retirement situations) that are able to exist because those jobs do not have to provide health insurance or cover the cost of providing health insurance. Changing that situation will have consequences to what jobs and non-jobs are available for people to choose from.