My small brain seems to only understand that with an increase in collective, the nose will swing right, therefore requiring left pedal input to compensate.
Had fun when I tried to groundtaxi a tight turn to the right; the collective kept coming up.
Apparently there was insufficient tq effect at flat collective pitch to yaw the nose to the right.
What it in general does, is ensure you don't need to shove in a bootful of left pedal when lifting the collective, nor shove in much right pedal when lowering the collective, to maintain balanced flight.