Vent ports (compensator) at the top of the barrel do very little to reduce muzzle lift. There is not enough "retro-jet" thrust.
Whereas a muzzle brake has a chamber with a flat wall that the propellant gases directly impinge. The impingement thrust "pulls" the the gun forward, reducing recoil and muzzle lift. After striking the flat surface(s) the gases can vent in any direction, sideways or upwards. Venting upward does not assist in reducing muzzle lift.
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