If your lateral C of G is to the left of datum, it helps to counter tail rotor drift as you have to use less left cyclic to tilt the disc to the required attitude since the Cof G is trying to roll the fuselage left already. If the C of G is to the right of datum, you would have to use left cyclic to oppose the rolling moment and then more left cyclic to counter the TR drift. (all this on a counter-clockwise rotating rotor - it is the opposite for French Helos!)
As far as I am aware, lateral C of G is only an issue in the hover and low speed flight envelope.
Cyclic lateral migration as you increase forward speed is to counter inflow roll - where the dissymmetry of lift wants to roll the aircraft towards the advancing side of the disc (right on an R22).