and I imagine that I will be greeted with almost immovable skepticism if I also assert that the very template of natural-scientific reduction - mathematical physics in all its forms - is inherently inadequate for the description of consciousness. Nonetheless, I do so assert.

Immovable scepticism here. Mathematical physics may be too low level to be directly useful in all instances but it is rather useful at describing things without appealing to magic.

Fundamental disagreement or no, it would make an interesting stand alone article. Is it really an important part of this one? I find it distracts me significantly from whatever actual minority view you are trying to express.