OK...
Would an honorable discharge ever be granted by a "board of officers" in situations where there wasn't a previous discharge of lesser desirability?
With the exception of a medical board, it has not been my experience to have ever seen any discharge given by a board that was better than a General discharge.
Remember, a board of officers is NOT a good thing. If they're having a board at all, it's because of some offense. The board will either find the accusation unfounded .. and the accused will go back to duty as before .. or founded, in which case, if they want him out, it wouldn't be with an honorable discharge.
I'm not saying that it's not possible, but the chances are probably better being hit by a meteorite. In 27 years, I've never seen one.