That 24 inch barrel will only fire 35 grains of powder efficiently.( Davenport formula, 11.5 grains per cubic inch of bore) More than that, and the added pressure will blow the patterns. Coyote Joe is right about that. And, I agree that a long barreled .40 will shoot much better, both PRB and shot loads. No matter what shot you choose, you don't have enough shot left in your pattern beyond 20 yards, nor enough pellet energy with those light loads, to kill effectively.
If he is going to use this with a .40 cal. PRB, that is another matter. He still is limited in the amount of powder he can shoot, but 35 grains of FFFg powder is going to give him 1320 Fps. MV, and just under 1000 fps. at 50 yards. That is more than enough to kill deer at close ranges.
I know an older hunter who has both a pace maker, and a defibrillater in his chest, and just can't take much recoil. He has a .40 caliber, short barreled rifle he is using this year to hunt deer in a state where that caliber is legal. He can't see more than 50 yards from his stand where he is hunting, and expects any shot will be at half that distance. He is a very experienced hunter, with literally hundreds of deer that he has killed, so he intends to use his new gun to take head or neck shots on a deer.
The barrel on his gun is shorter than this one described. It is, however, a rifle, and not a smoothbore. Its a tack driver at 50 yards. There is NO recoil felt when firing the gun. That was his main objective. He doesn't want that defibrillator going off when he doesn't want it to do so. If you have ever seen what the electric shock does from a defibrillator in the Hospitals, where they have paddles applied to the outside of the patient's chest, you understand why he is concerned.