Before I removed the factory Kick-Off stock from my Comp Pro, I messaged @
e_stern (Beretta Product Manager) and he stated the gun would be fine with the Aridus stock adapter. I actually bought my Aridus adapter from the Beretta store.
Between the Beretta Product Manager, TCinvA, and Ernest Langdon, I think we would know if there was an issue after removing the recoil buffer. If you read enough of Ernest Langdon's posts, it's apparent that Beretta is a very conservative company. If the Beretta Engineers though removing the buffer was an issue, Beretta wouldn't be selling Langdon Tactical pallets of 1301s to convert.
That being said, I also have a stock 1301 Comp, and there is a definite "tone" difference when sharply hand cycling the bolt. I've never noticed it when shooting, but I wasn't ever listening for it. The bolt moves back slightly more on the gun with the Aridus stock.
Below is TCinVA's response the last time this question came up, in post 4678 of this thread: