Yep absolutely, it is minimized on a stiff frame/chassis but still evident. As you load the bipod you can change the tension on the bedding, alter the barrel harmonics and you also change the recoil impulse. The more flexable the stock the more noticeable the change. Even a change in shoulder pressure or hand position can effect POI. High recoiling sythetic stocked rifles are most prone to this IME.
On a low recoiling gun like your 22 it should be minimised but its always worth checking on paper.
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