The papers dismissal of evolutionary biology reads like it was written by someone who has never actually spoken with either a biologist or someone who practices medicine...

Statements:
"Evolutionary forces can not effect psychophysical laws"  

-Flatly untrue.  We know that the experience of things like pain can be effected by evolution because people are sometimes born without a function system for pain. Congenital pain insensitivity is a thing.
https://en.wikipedia.org/wiki/Congenital_insensitivity_to_pain

It can be caused by some identified mutations which make the system of pain simply not function.  The effected person doesn't feel pain because the biological system that produces the sensation of pain doesn't work.  So, we should expect that dysfunctions in the structure of the brain will necessarily be able to create many forms of psyco-physical disharmony.

We even have a name for it...

Synesthesia is the term when peoples sensations become "mixed up" where they can hear colors and see pain.

https://en.wikipedia.org/wiki/Synesthesia

Other examples:
Sensory processing disorder:
https://www.webmd.com/children/sensory-processing-disorder

So, basically the evolutionary explanation that seems to perplex the authors of the paper is how the subjective experience of pain could possibly be effected by the process of evolution.

Well, we know that, if you can't feel pain you don't avoid it. That the problem with people with congenital insensitivity to pain. That's their problem.  They literally can't feel the "qualia" of pain at all.  

They seem to think that the feeling of pain being instead the taste of strawberries would have no effect on the organism's survival chances, but, we can just say, "it obviously would and all our evidence to date supports that it would" the problem seems to disappear.

That's the rebuttal here.  If the subjective experience of the sensation of reality is in any way important for the organism's survival, than the physical system of the brain produces subjective experiences purpose built by evolution for the reality it lives in. So, we should expect subjective experiences to evolve along with the organism's brain.

Now, if that seems like nonsense to you from whatever philosophical idea you have about how minds and bodies interact, then, well, psycho-physical harmony seems to be a good argument against those ideas, or I suppose you can say "God did it".