Can't argue with you here. I have said the charging documents aren't going to be thrown out anyway so it's all kind of a moot discussion.
But technically, the documents don't cover probable cause on all elements of the offense.
They could have gone with an even more bare-bones charging document that at least hangs together and technically covers the bases. But they didn't.
Once they adopted the theory of the case that the shooting was in connection with a struggle, then they needed to cover the point that they had probable cause that the shooting was unlawful under those circumstances. They never covered that point as a technical matter.