Without actually shooting and chronographing both lengths I couldn't be certain. However the longer barrel will add weight which will help lessen recoil, but then the longer barrel will also increase velocity which will increase recoil.
In the formula I use for calculating recoil, factors included in the equation are, Powder Charge, Bullet Weight, Muzzle Velocity and Gun Weight. It would depend on if the added weight off set the increased muzzle velocity as to which will recoil more.
Larry