Black Bat:
It's not common. In his case, I'd call it a badly failed reenlistment roll for game purposes.
Not so. At least not in the US. I know a chap, completed his tour, and got a general discharge, not an honorable. He did, however, spend an aggregate 18 months of a 4 year hitch in the brig. Decking an admiral. Discharged as a MA5th (E2); he had made GM2 (E5), then went MA, then got busted back. (I've seen the DD214. General LTH.)100% of end-of-enlistment discharges are "Honorable"!
It's not common. In his case, I'd call it a badly failed reenlistment roll for game purposes.