When an E-4 calls me "hey" or "hey man" knowing that I am an officer, should I bother to correct him?

Yes. Military courtesy needs to be taught and enforced. It doesn't go away when off base.

No brainer. Nip it in the bud before it spreads. Lieutenant, or Sir works anywhere.

Sir correct him immediately otherwise others will take notice and start doing it to, maintaining good order and discipline are necessary for good unit cohesion and respectful boundaries.

First of all, you are a commissioned officer. Your rank has to be respected at all times. Then you to ensure that the SPC sees your rank clearly. Now calmly approach this SPC a d ask if he is calling for you or someone else. If no one else is in the area, begin to inform him/her the proper way to address any one in your military branch is, first by saying their rank, then last name if they should know you. They should never address any one by "hey man/hey." Do this as calmly as possible to avoid unwanted attention.

Your dam right Sir, they will continue to do it later and then other enlisted will follow suit. That SPC should know better, and should be tighten up accordingly, also that SPC better be glad I wasn't there to do and on the spot correction, then privately speak the the LT and reinforce(positively) they should do the same.

You absolutely should correct him and if you wish he can address you anyway that you want him or her to. Rank has it's privilege and for him to reduce you to some slang greeting isn't showing resect for you or the uniform you wear each week. You don't have to reprimand him just point it out. It's you duty to explain it to him and his to follow. If I were to see you on the street and give you the greeting of the day like , "Good Morning Sir". You can return the greeting and say let's do away with the formal stuff while we're at the ballgame.

If you're both out of uniform, it really just comes down to what you yourself consider respectful based on the relationship.

Yes, he is wrong, make an example of him

out of work and out of uniform in todays military I would say no. back in my day it wouldn't be A question.you don't have to respect the person but you give respect to the rank. in or out of uniform if you know the rank period. in this case you could pull him aside and tell him to not address you like that. I had an issue with A ROTC 2nd LT. ordering me to salute him in combat condishtions. we all know that we don't do that because it makes the officer A snipper target. this 2nd LT was an powertripping A - HOLE kept messing with me. the last time he ordered me to salute him in the field I punched him in his mouth told him now we are both dead from the snippers round. he then went crying to the 1st SGT / then the XO / then the CO / they all knew he was fcking with me and was told to back off me and leave me alone. if not he was going be ritten up for conduct unbacomming of an officer. nothing happined to me no ART-15 or company punishment. i was told to stay out of his way I did I told them. but he kept comming up on me. he was transfured out of our company I was an E-4 at the time CPL jr NCO at the time. never had any issues with any officer or enlisted personal.

Respecting your leaders comes an understanding that Customs and Courtesies and is what separates us from other organizations. Duty, Honor, Country actually means something, and I knew that as a Private, an NCO and an Officer. Respectfully get in his kitchen.