A somewhat accurate analogy would be that because a guilty man appealed his case and got free, we did away with the entire appeal system.
The military is very prone to old boys clubs (using the term generally, it can really be any race/gender/creed) outside of the infantry (because people have the time to sit around and be fags all day). This can be specific to a unit, a group of workout buddies on post, or ROTC/Academy grads. Whatever the case may be, there are any number of instances where someone may be wrongfully punished or more harshly punished for something they are accused of doing. The power exists for those reasons. UCMJ is not necessarily a court, tribunal, whatever. It is generally a company level officer (O-3) punishing one of his men. The punishment is reviewed all the way up to make sure everything is being handled properly.
The problem that I assume people have with that is the power to singlehandedly overturn a sexual battery conviction comes with no oversight or permissions. As far as this, I don't know what to say. People are put into positions to command and should be expected to do so without oversight. Most commanders do this and don't have issues, some do. It's not something I expect people to understand, but you can't just say "Hey Gen. Craig, we disagree with how you exercised your command so now you're fired" because of the message it sends.
As for that case, my understanding is that he had a good reason to overturn it. He probably didn't feel the prosecution did a good job of proving he was guilty yet was convicted anyway due to how people respond to rape. Case in point, this thread and others like it!
I don't know if that answered your question.
Criminally yeah, though CID is prone to its flaws as well. I've always seen it as more of an EO/IG related power that was broader than maybe it should have been.
Edit: The dumb thing was that he had the ability to look at the prosecutions case prior to the trial, look at their evidence, and then decide whether or not it even was deliberated. He said yes, heard it, then said no. By all accounts he was a great leader so whatever happened to cause him to change his mind must have been pretty important because he knew his career was over the second he did it.
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