I would like to point out that while many of the training institutes on this site are very good for the purpose they serve. The over all lack of real world experience limits there knowledge to what they have been taught. Naturally they will teach there students to the level they were taught at or what they feel is the best way for a layman to carry.
Is that to say that, because of your experience, and not being a 'layman', you would find no value in non-military firearms training? You mentioned these institutes were "good for the purpose they serve". What purpose is that? In your view, what are the shortcomings? What purposes are they not serving?
You also have to take into consideration that in the military particularly in the combat arms. Infantry, Cavalry, Armored, Spec Ops etc. We carry weapons any time we train. When deployed they are with us 24/7. The military trains us to carry in varying ways for different ways for varying situation. We train over and over again so much of what we do is muscle memory. This can't be learned in a two or three or even a week long course. It must be practiced over and over again.
Its interesting you are comparing the relative level of gun handling between military non-military folks. Some of the worst (and some of the best) gun handling I've seen has been out of military or former-military people. My point is that it varies pretty widely.
I've also seen some very good gun handling out of people with zero military experience. I would argue it comes down to the indivdual moreso than their background. People who are serious about their training, military or otherwise, will train to a higher level than those who are not serious about it.
Most of the people I know who are very serious about training and practice have never been in the military. They train to make themselves safer. They commit significant personal time, money and resources to becoming better, safer, and more effective. They carry their firearm every day. It may not be an M240, but they handle guns on a daily basis. Most of them pratice and train daily or weekly. They exhibit a high level of commitment to this. Don't dismiss it.
[---I have much respect for our military and former-military folks on the board. I have never been in the military and I don't pretend to understand those experiences. I don't want this to come off as anything that contradicts that. ---]