Rising Sun,
Put all thoughts of wads from your mind, since neither modern ball ammunition nor modern blank ammunition has them.
A gas operated rifle typically offers less perceived recoil than the same weapon with the gas switched off. However, the measured recoil impulse is the same. something moving within the system cannot by definition affect the total recoil impulse, but it can change its rate of application to the shooter’s shoulder. The opposite, however, is true for most recoil-operated mechanisms, since the departing projectile conserves momentum with (to all intents and purposes) only the recoiling parts, which are stopped abruptly.
With ball ammunition, you have a projectile departing at velocity, along with the combustion gases at high-pressure, and therefore high velocity. the momentum of everything going downrange equals the momentum of the weapon backwards.
With blank ammunition, you have no projectile and a lesser amount of combustion gases leaving at much lower pressure. To all intents and purposes, the recoil is zero, or at least I have never felt any. Put a blank fire adapter on a self-loader, and all you will feel is the working parts being operated.
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