Ahh, shoot, left off one positive for CC: Environment vs Object Interaction.
Ask anyone who has walked about with a sword for a day (I have, ceremonial, but still 3ft of steel) or a cop about the duty belt. One thing about wearing a gun, or a sword, essentially any sizable arm, will result in new and interesting environmental interactions between you, your arm, and your world. Like having a new tail that came out of no where. You bump into things, sitting becomes new and exciting. Most CC rigs are flat and feature a weapon as small and flat as possible. This smooth concealed surface trends not to hang up on anything or get snagged as a loaded gun belt or sword on the baldric will. So there is that, CC allows for a more normal daily routine to be continued while armed, which is positive.
We give them happiness and they give us authority.
You assuage their conscience.
They give us their freedom.