Frame rested on leather sandbags, forearms supported, butt floated. Resting the butt introduces inconsistency.
Once again we seem to disagree.
When resting a handgun for groups I will rest the grip and the barrel.
ANY floating at all will introduce the inconsistency you suggested. After all, it's floating.
Which is more stable, a unicycle or a bicycle?
Since we don't have room to make it a tricycle you should take all the support the gun can get.
Handgun barrels are short and stiff enough that they can support the nose weight of the gun without being bothered with harmonics like a rifle. The barrel stresses are MUCH lower too. Add in the fact that handguns get shot at relatively close range and barrel harmonics are really not a concern.
If your arms or elbows are on the table they will drag rearwards before rotating under recoil. The drag is inconsistent and it really does change the point of impact.
When shooting my Contenders at longer range I rest the gun as shown in my pic above. My arms do not touch the table. Both hands are on the grips. This has earned me cloverleaf groups at 100 yards with the 7TCU and the 45 Colt. Moving out to 200 yards I am able to put rounds on target better than many of the rifle guys. 30mm clays designed as BB gun targets can easily be hit with the 7 at that distance.
When I shot my Encore pistol from a rest it was dead on consistent with both the 22-250 and the 308 barrels out to 400 yards.
I did not rest the 460 S&W. Recoil was far too brutal in the Encore and wrist damage was possible under recoil. That was a stand up and shoot it like a man kind of thing. That way the recoil went into your shoulders and upper body. It was far more forgiving when shot standing.
It took me a long time and hundreds of rounds to figure out how to shoot handguns accurately at extended ranges. Once the proper rest is figured out the shooter's grip on the gun becomes the primary concern.
Shooting Creedmoor is incredibly stable too but that takes a lot of practice and is not allowed at most public ranges. The first time I fired a 44 magnum revolver it was from the Creedmoor position. The result was a hit on a ram at 200 meters. Three more shots gave me two more hits. I'd call that fairly good considering I'd never handled that gun before and it was my first day to shoot from that position.
The pic is an example of the Creedmoor position:
A cylinder gap blast shield is needed when shooting a revolver but it's an amazing way to shoot once you learn how. If you get the chance to try it I'd strongly encourage it.