If what you highlight is truly an overriding concern, then it leaves two logical courses in any situation where CP is used exceedingly rarely.
They should either
(a) remove it entirely as it is little-used anyway and has this outsized harm elelment assigned to it, or
(b) step up its application so as to make it a normal and regular occurrence, thereby eliminating any psychological issues resulting from a feeling of being unjustly singled out and treated otherwise by one’s peers.
I’m sure the same applies to persons in prison.
Whilst a truly progressive society should be highly capable of abolishing this throwback to the dark ages quite readily, if they have not yet attained that level of understanding, then perhaps an increase in incarceration rates should be considered so as to make it more commonplace.