There is the theoretical debate of whether police are different from nonpolice so should they be able to carry and what is their law enforcement responsibility off duty?
I am not aware of any agency that doesn't require some kind of off-duty responsibility. To paraphrase Stan Lee "with great responsibility comes great power".
Police are not "different" than other citizens. We just have different a duty to act.
This should not turn in to either/or discussion. Off-duty carry by POs has very little to do with CCW by civilians.
I fully support CCW. However, if you do carry on a given day it's nobody's concern but yours. If I don't carry off-duty and Murphy decides to visit not only does it affect me it affects those civilians I am unable to assist. To say nothing of the sanctions that would be applied at my agency and in the media.