No, the PDW uses a proprietary bolt that is similar the the Maxim Defense bolt. It is shorter than a standard AR bolt and the buffer fits inside the bolt carrier and lives in the upper, not the buffer tube. Thats why on the PDW you have to push both the take down pins to remove the whole upper to remove the bolt same as the Maxim PDX. Springfield and Maxim teamed up to release the PDW so the PDW and PDX share DNA. The PDX was originally designed to try to win the Socom PDW contract for personal defense weapons for the teir 1 community. there are plenty of videos of the little Maxim guns running full auto. So a double tab is no problem. Smaller bolt or not, It still travels the full length and cycles the same as any other AR. By the time you could even think about letting go of the trigger to let the second binary trigger action happen the gun itself has been back in battery waiting for the slow human to react.
Now adding a suppressor would change things, and Maxim warns users that it is a no No. Look up the full auto PDX it looks like a wild ride.