When playing on servers configured to hide the cross-hair, players using gaming monitors with built-in cross-hair, or software overlay cross-hair have an unfair advantage.
To avoid the use of this kind of cheat, the aim point when hip-firing could have a random offset from the screen center. Maybe the melee and throwing aim point could also use this offset.
Some monitors allow the cross-hair position to be adjusted, so the offset should change every time the weapon is raised to the hip-fire position. The offset should be kept still during firing, or slowly drift, in order to let the player see the tracer/impact point and compensate the offset.