If you want a fast pump, get a Browning BPS. I've tried all of the above and the only one in the same class is the Benelli Nova, do add it to your list.
In practice it's a bigger difference than just the action however. The barrel of the BPS is set just a little higher above your shoulder than the others, in short the drop at the comb is different.
This means the gun hits you just a hair harder in recoil (noticeable but no big deal) but the muzzle rise is sharply reduced. The gun helps you stay on target instead of fighting you. There is absolutely no way I want anything else in my hands if there is a BG in front of me.
Gaily bedight, A gallant knight In sunshine and in shadow, Had journeyed long, Singing a song, In search of El Dorado