The CDS is in fact the final court of appeal here for pretty well all these purposes. The reason you have decisions released in public is to avoid both arbitrariness and the appearance of arbitrariness.
If the CDS cannot defend his reasoning or does not accept a certain set of facts or has skirted around a certain set of facts, the decision is almost inevitably going to be flawed. If a decision is flawed, that will lead to a distrust of the system and it will affect morale. I think it should be public unless there is some compelling reason why not.
With respect to Mr. Alexander's argument about privacy, etc., it seems to me that the privacy call is on the griever. If the griever does not wish the decision to be released in public, then I think that's his or her prerogative, not the other way around. If in fact there is some compelling national security reason, which I can't fathom or imagine, I'm sure the CDS will find ways in which it's not put out in public.
But the rule should be that everything is in public unless there is a compelling reason otherwise.