Thanks OP that is an interesting article and especially useful for me to read as I am having issues with my body right now, both how it looks and what it does.
But it may not provoke as much cognitive dissonance as you'd imagine. Bear with me, I'm still working through my thoughts...
If the concept of "transness" is seen along the same lines as the concept of "disability" then you could say that problems only occur when society does not make adaptations (following the social model of disability.)
And also, letting go of shame for "disabled" appearance or behaviour could be equated to letting go of shame for "trans" appearance or behaviour, that behaviour including body modification.
It might seem a stretch but these hoops are probably easier to jump through when your mind is already fundamentally fixed a certain way.