I think you will find that with the advent of inter connectivity of medical records in the future that this “issue” of military children medical records will be a moot point as everyone’s will be just as accessible. The “issue” isn’t even really an issue, if someone is honest then the military is going to request the same records they would screen on a military child. All this does currently is mean a military child can’t lie to get in as much as a non-military child can. If you need to lie to get in, you shouldn’t get in anyway.
I disagree that the military should “evolve” on accepting those with a history of mental health disorders unless that disorder is well known to not recur (either by literature today or advanced knowledge in future studies).
Serving in the military isn’t a right, it isn’t meant for everybody, and it certainly isn’t low stress.