Is it acceptable to correct a Soldier not in your chain? How about reinforcing with corrective training?

In my opinion if a service member is out of line, doesnt matter the rank, it should be corrected just doing so tactfully is most peoples main problem, IE a full bird COL walking into the building with his name tapes switched to the wrong side, tactfully correct the mistake, or a lowly E-1 making making an ass out of his/herself with their uniform pants halfway down their ass..... doesnt matter what the situation is it just needs to be handled with the appropriate level of tact.

I've corrected other NCO's troops (Airmen and Soldiers) and I will continue to do so. It's my duty. Of course you also are expected to give a courtesy heads-up to their NCO to fill them in.

If they don't like it, tough shit, and luckily I haven't dealt with any that had a problem with it.

I attempted correcting an 0-3 due to his sloppy appearance. I was an E-8 standing at the side of a hallway watching my Seabees come in. The Capt. 0-6 had a thing about field jackets unbuttoned and unzipped so I was just checking out the troops. The O-3 walked in wearing a flight jacket (he was not in flight status) adorned with numerous squadron patches, hat cocked on his head and tie hanging loose. I quietly asked for a moment of his time and we stepped into an empty office. I explained that his appearance was setting a bad example for the younger men. He explained to me that he didn't give a damn what Seabees thought and who the hell was I, a lowly enlisted, correcting and officer. I apologized for taking up his time and he left. Unknown to me a W-4 witnessed the encounter and mentioned it to the Old Man. I was later called into his office where he had the LT standing tall and asked for my side of the story. Mine was the same as the W-4 had related to him. He asked me to leave them alone and close the door when I left. I was 30 feet down the hallway when I heard him "counseling" the young LT. The LT later apologized to me for his conduct and the Capt. told me that as his SEA he expected me to correct anyone in the detachment, officer or enlisted.