You can very closely simulate a reflective display using an emissive display and ambient light sensors. That's what Google's Nest Hub Max does, and it very often looks like a framed photo (i.e. reflective).
It's not like photons coming from an LED in a panel are more damaging than those same photons coming from an LED in the ceiling, that then reflects off of e-ink.
Outdoors, the problem is that transmissive displays are not bright enough to beat sunlight. That's where e-ink makes more sense, and where I think there could be a real health benefit (outdoor sunlight exposure, ability to focus at long distances).