We aren't allowed to shrug our shoulders in response.

Actually we are. Changing the status quo is hard even if you are right.

Should I take my thoughts to medical statisticians? Or can I actually get a better answer here?

I don't think mainling the original post to any medical statistician will get you anywhere. You would beforehand have to be clearer about your thesis and the evidence you have. It helps to cite the evidence.

which I am now using to explain and predict lots of other facts that didn't figure in the original making-it-up process.

A prediction is something that has a credence value especially if you see yourself as Bayesian. At the moment you don't state those.