Take a tube and bend it into a perfect "S" shape. Put a pivot in the center that allows flow from the pivot/stand through the "S" tube. Now submerge the device in a tank of water and pump water through it and out the ends of the "S". It rotates in a counter-clockwise direction (if viewing it as the "S" is properly oriented).
Next suck water into the device at the same rate. What happens? It still rotates but in which direction? Is the direction of rotation caused by the water flowing into the ends of the "S", or is it caused by the centrifugal force of the water pushing on the curves in the "S"?
The experiment has nothing to do with the OP, I have always just wondered what the answer to the puzzle is.
Muzzle rise is a direct result of the centerline of the barrel being well above the shooter's wrist, which becomes the fulcrum causing the muzzle to rotate
(not rise) off of the wrist. This is the basis for the Chiappa Rhino with the round being fired from the lowest chamber on the cylinder rather than the highest chamber resulting in greatly reduced rotation.