Compensators and muzzle brakes are not the same thing. A compensator uses ports in the top of the barrel to reduce muzzle flip or climb under recoil. A muzzle brake has ports in the sides to redirect the muzzle blast so as to push the gun forward so it does not rear back as hard. You will only find these on very high-powered rifles; they are a necessity on a .50 BMG as the full force of the rearward thrust, unbraked, could injure you. A pistol has no need of this, but a compensator can be of benefit in some types of games, er, I mean competition.
I don't think many people, including myself, are going to favor a compensator on a self-defense handgun, though. The (probably) already substantial muzzle flash of this round will be directed upward, directly into your line of sight, instead of forward. If fired at night it could momentarily blind you, somewhat like a camera flash. If you have to shoot from a position close to your body (e.g., from the hip or held close to your face), the escaping gases and particles could injure you.