I'm saying such a scrambling happens all the time anyways, and that preserving the exact relative position, concentration, folding status etcetera may not be all that important to the cognitive system at large, at least we don't fret about it when shaking our heads.

That seems like a reasonable and important point.

When voluntarily shaking your head (you madman!) you were content with a much, much more forgiving standard.

I'd probably go as far as to use a standard that accepted even a severe concussion or three's worth of damage and information loss. Especially given that the ongoing functional impairment (albeit not the identity related loss) can presumably be trivially repaired.