To be honest, those early stabilizers kept you in the general direction. Would you use one to actually fire at a target,,, no. But it did keep a very rough direction while you moved.
Like any piece of equipment, crews need to be trained on how to use and maintain it.
Here is a technical explanation and test results:
link
The stabilizer allowed the gunner to fire on the move – if he so desired. It's a Risk-Reward Tactical Decision the gunner and TC make. Is it more important to shoot quicker with decreased accuracy or take the extra seconds to halt and fire? All situations are different and seconds count in combat as it is not IGYG. Ideally, use halt fire.
The purpose of the stabilizer was to help keep the gun more or less on target within 4 mils (about 1/4 of a degree) in the vertical plane (not horizontal) while moving.
That means what the gunner would see on a target at 500m would be the crosshairs moving vertically (horizontally only if the driver turned) 2m above and below the center mass aim point of a target 2-3m high. This would "theoretically" mean that about 50% of the time the aim would be on target IF the gunner estimated the range correctly. This is probably why the manual says not to fire on the move over 600 yards.
Without the stabilizer, the vertical movement of 1 degree up or down while moving would have the gun moving 15-20 feet above or below the center mass aim point at 500m.
It also kept the gun on target while decelerating to a halt because the entire tank would nose down while decelerating. Having the stabilizer keep the gun more or less on the target while decelerating meant a faster halt-fire engagement time for the first shot, which was very important.
On rough terrain, it was probably almost useless because the sight was not stabilized, and when the gunner was getting bounced around and not able to look through the scope. If the stabilizer was not on and you were attacked you would not be able to use it in the engagement. If no one is trained on how to use it it's useless.
I would imagine in units with a high personnel loss rate no one in the platoon might know how to properly use it thus getting the "useless" reputation.
The Westinghouse stabilizer: All models of the Sherman but the 105 armed tanks had a stabilizer to control the main guns in elevation while on the move. It used a gyroscope and hydraulic power pulled from the turret drive system to keep the gun steady in the vertical while on the movie.
The system is often disregarded as an advantage by detractors, for a few reasons, but none are valid in a technical sense. The stabilizer was a very advanced piece of kit, and something the Germans could not copy, and never installed a similar system on a wartime tank. That it was complicated and the crews lacked training in using it, doesn't mean it didn't work and offers advantages to crews who bothered with it.
The original stabilizer was a little complicated to set up properly since many armor units received their tanks and maybe some manuals for them, when they formed, they often did not have a single man in their company who really knew how to make the stabilizer really work. There may have been only one crew member who could make it work and if they lost him they lost the use of the stabilizer.
This lead to it being turned off by a lot of early war crews. The wrongheaded belief the equipment was useless followed that. The Army did a test on it and found the stabilizer, when set up, and used by a crew who knew how to use it, it helped a great deal in getting off a fast first shot when the tank came to stop to shoot. If the tank rocked, the gun stayed more or less on target. This was a big advantage to getting that all-important first shot/hit in combat.
The Westinghouse stabilizer was improved and simplified in the second-generation Shermans, the large hatch 75 and 76 tanks would have gotten it. It was easier to set up and maintain, and the Army worked on getting crews trained on it.
The LVT/A-4 amtracks used them with great success in the Philippines with their short-barreled 75s. They sat off-shore and shelled Japanese installations while bobbing up and down in the sea-swells. The gyroscopic stabilizers steadied them up to put rounds on target.
Another factor games rarely portray in games is recon by fire and suppression. American Shermans were known to overload their tanks with HE rounds because they'd be shooting while advancing into contact. Shooting, even if you don't see a target, is good for morale and helps keep the defenders' heads down. The .50cal HMG was excellent for this. Canister rounds were also used in a "recon-by-fire" role. Stabilizers helped.
Tanks with 37mm and 6pdr guns were shoulder mounted so the gunner could make up and down corrections to fire on the move. The British Centurian crews were trained to use moving fire with their 2pdrs in N. Africa.
Why didn't they use them after the war?: YouTube link
How and if you use them in the game is up to you.
Wolfhag