As an LEO supervisor with 20+ years experience, based solely on what you wrote, I'd say "good job, now lets get pair of them light weight cuffs for off duty, OK?" First day on the job the old equipment Sarge said" 4 things will get you kid: booze, women, lying, and off duty..." YOU know your policy better than the rest of us, I have no issue with what you wrote. Carry the badge, carry the gun. Carry the gun, you WILL carry cuffs.
By the way, that 20 years experience includes trying to do the right thing a few times (like you did) and looking like an idiot to some, feeling like an idiot to myself at times.
Imagine drawing down on a guy in jeans, polo shirt, carrying a machine gun in a local bank as you go to use the ATM.....NOW WHAT would a guy with a machine gun be doing in the bank? Local police chief, no ID, no markings, no NOTHING but a machine gun in his hands....that story, a year old, got turned 180 degrees into something that when I heard it I didn't even recognize it as the same incident! I go out of my way to steer clear of things I don't feel I should jump into unless public safety is at risk....most of the local guys where I live figured out real fast who the bonehead was in that incident but nevertheless one feels pretty embarrassed.
Back on track, you did what you thought was right, don't second guess yourself, you did fine, get some lightweight cuffs and move forward.
Good job, be safe brother.
RR