I think school studies are seen as more accurate because they are supposedly held under more scrutinity from a large body of peers and researchers in that field, and when teaching it, it will also come across many people, and thus there will be more opportunities for it to be challenged, as you are doing.

I don't disagree with you that docs are usually in crappy health. I think some of that is due to the rigors of med school and lifestyle they picked up to adapt. Just like nurses, who work crazy shifts... most of them, I'd generalize, tend to be fat. On the other hand, I have seen a lot of specialists who are young looking and in great shape and have cool personalities... I think these people have pretty high IQs and didn't have to struggle through med school, unlike the nerds who killed themselves doing it.

I'd also add that not all people take their own advice, which is another reason they might be in bad shape, not because their knowledge was bad. But yeah, I don't really know much about nutrition, or what the formal study of a nutritionist entails (I believe they are not medical doctors).

Anyway, could you describe some these exercises? Half of the stuff you mentioned in those pasted articles is taught in school. So where do you draw the line between school and alternative learning? I don't think there is a distinct separation.

My main contention was that palming cannot permanently change your vision, and that astigmatism is not caused by muscle imbalances. I think both of these could be tested very easily by yourself.
1) Measure you acuity on a chart on several occasions (different times of the day, and also on different days) while doing no exercises, for like a week. Then measure your acuity on a chart while doing the exercises. Measure again a few days after ceasing to do them. Other than for the confounding variable of you memorizing the letters, which you could get around if you could get different charts or have a system where you could change the letters, I believe you will not find a difference a few days after stopping the palming.
2) Same thing with your astigmatism. Get someone to refract you a few times before and after muscle exercises. I doubt there will be any change in your refraction. You can also test this by tilting your head in different positions, but make sure you tilt the chart along with your head, so you're not looking at the chart at orientations where the effect of the astigmatism is minimized. If it was the muscle balance that caused astigmatism, in different head positions the astigmatism should be changed and thus so should your acuity.