Many thanks for this post. It doesn't seem possible that the Army would be so indifferent to the medical situation of one of their own as to insist on moving her immediately at great risk to her life. Choi wasn't tattling, he wanted to bring her VA doctor into the loop, not because he was a slave to all things military as April implied.
I don't think Dick Wolf hates the military but what happened in this episode reminds me of some of the storylines in the Law & Order franchise where the military justice system conflicted with the civil one, particularly over matters of jurisdiction.
As for the poor girl and her mother - yes, brain bleeds may be fatal and there may not be anything that can be done, as Dr. Abrams dispassionately explained. Having faced a similar situation in real life, I think it is just as well to hear a realistic assessment of the possibilities and options and not be given false hopes.