I suspect so.
It's like police misconduct. Cops get disciplined, arrested, investigated, etc., for misconduct all the time, even in cases where the press doesn't know about it. Sure there are cases of the "thin blue line" or whatever, but there are a lot of other cases where the police really do police their own.
After all, its not like the JAG corps and courts martial don't have a function the other 364 days per year.
Furthermore, as touched upon above, the subsequent coverage of this case is telling.
First, the press airs the videotape. Then it says, "hmmmm....now we are being told the soldier may have been suffereing from wounds...we are also being told that some insurgents who were allegedly wounded were attacking soldiers afterwards...."
Why didn't they bother to find out this information before they aired the video, in order to broadcast a more complete story in the first place?
Obviously, if there's a big story here, it would still be a big story after a more thorough investigation by the media. Part of that investigation could be the military's response to what happened.
However, rather than wait to find out more facts, the media rushed to a form of judgement.