It depends on the design and construction of the rifle. With most PCP air rifles, I believe the answer is no, it's not critical. With many metallic cartridge rifles, especially sporters, the stock attachment torque is very important. This is largely due to the fact that, with most PCP rifles, the barrel is well removed from any influence of the stock attachment, and there is not enough recoil to influence movement of the action within the stock. Just my opinion, and I'm often wrong.