I have seen very old pictures in the Arms and Man of American Military/Civilians going into position and it looked as though they using that form. At the time, I recall reading of one shooting game, where the line was put into order, command to load, etc, and the target came up for 20 seconds, and the line had to shoot until the target went down. They also did not use mats! A rock under the elbow would hurt. Ever heard the term "gravel belly solider"? The lore was the range ground keepers deliberately spread gravel out on the line for the fun of watching others squirm in pain.
I did shoot rattle battle which was 50 second periods from when the targets rose from the berm. That game started at 600 yards prone rapid fire, then 500 yards prone rapid fire, 300 yards sitting rapid, and 200 yards standing rapid fire. Rattle battle, the team was issued a certain number of rounds, the hits at 600 and 500 were worth more than the hits closer. The goal was to accumulate as many points as possible.
I can't remember a time rolling into position as the manual shows it. When I went prone rapid fire, I dropped to my knees, put the right hand down, and came down slow enough that I did not jar myself hard. I have had, and have seen, enough sear failures, where the hammer follows the bolt, or the firing pin follows the bolt down, that I would never intentionally drop test a match rifle on its butt, because there is always the chance the sear engagement would fail!
Here is what happens when you drop your SIG on its butt
I believe the reason you see drop and fall techniques being shown in manuals is due to the post WW1 tactical battle theories of the US Army. The US Army came out of WW1, a war where battlefields looked like this for years, and where artillery caused 60 % ish of the causalities, machine guns ruled the near fighting, and green gangrene was a common killer,
and post WW1, the
Superior Board came up with the doctrine that what the American Army needed to win wars, was more rifle marksmanship. This was heavily influenced by the failed pre war theories on the
Cult of the Offensive.
The cult of the "Elan". So you see between the wars, this emphasis on offensive small squad tactics, mobility, and accurate long range rifle fire. The rifle squad was going to rush up on the enemy, when they encountered enemy fire, flop down, lay accurate, long range rifle fire and suppress the opposition. And of course, superior accurate shooting would quickly render the enemy dead, after which the squad would get up and take the position.
I think these tactics were primarily based on the senior Regular Army Officer's experiences on the American Frontier against Indians, the Cult of the Elan, and the actual experience of barbed wire, mud, machine guns, artillery, and tanks of WW1 were more or less ignored.
This paper will give a good idea of the pre WW1 French tactical ideas (Grandmaison’s) that still influenced American military thinkers after the war.
No other Law: The French Army and the Doctrine of the Offensive
The Grandmasisons wanted to attack, attack always and everywhere, no plan other to find the enemy and attack.