Talking about weight transfer is always tricky, as it can be somewhat counterintuitive.

When one reduces the roll stiffness on a given end of the car, that end, and thus the entire chassis, tends to roll/lean more. Many times this will be described as increased weight transfer (change in vertical forces on the tires). But in reality it is less, due to the reduced roll stiffness the other end of the car is taking more of the roll loads.

Roll forces on a given end won't be higher with less roll stiffness, they will be lower. The other end of the car sees the higher roll loads/weight transfer, as that roll stiffness has not changed, but is now a larger portion of the overall chassis roll stiffness.