Depending on the type, you'll have a certain amount of lateral cyclic range.
Once the roll develops (eg slope takeoff, one skid or wheel snags an obstruction and starts a rolling motion), full opposite cyclic will have an anti-roll effect only up to the point where the angle of bank is still less than the angle through which you can tilt your lift vector the other way with cyclic.
Beyond that, even with full opposite cyclic, any lift from the rotor is pro-roll, which is one reason rollovers can go so wrong so quickly.
Hence the technique of dumping the collective to dump the lift and remove that driving force, although by that stage it's probably too late anyway.
Not sure if that adds any clarity to the discussion!