Well, that is how healthcare tends to be delivered, really. An interdisciplinary team of doctors from various specialties is what makes up a hospital. His is evidently a much smaller team than your average hospital, and it sounds far better connected together. In a hospital, once you've been sent to one specialist, you often find that they have no knowledge of other areas, and worse, are not interested in working with doctors from other areas. So that would be an advantage. But since it's a much smaller team, it's still likely that it needs to stick to a more limited area in one way or another. I wonder if my friend with the eye condition would be eligible, for instance.
I bet you could do a nice job for ME patients if we had a similar approach: a set of doctors from various fields covering the many areas which ME gets into, but all working closely together, so that we wouldn't be constantly hearing, "This is getting outside my area of specialty now, so I'm afraid I have no idea how to proceed." I've a feeling there's the odd clinic like this worldwide, but it's a long way from being the norm. I wonder how you could integrate it into a normal hospital system, rather than just very selective private healthcare which most patients would be unable to access? After all, you get things like Family Planning Clinics which cover quite a range of areas (contraception, abortion, gynaecology, obstetrics, PMS, menopause, STIs, LGBT sexual health, relationship counselling).