If your car was just one axle, then the ARB/springs can't press the tyre onto the ground as such. The left side is pulled upwards by the right side, and the car will load both tyres by the amount of load remaining after the weight transfer (elastic and geometric).
But if the other end of the car has an axle as well (most do!), then it's a bit more complex. If the rear is very soft in roll, then the front roll bar will pull up the left wheel, and the car will roll less for a given lateral g, but have more load transfer at that end, to the point that it might run out of droop travel, and hence reach 100% load transfer when the tyre leaves the road.
Springs do not press tyres into the road. Neither do tyre pressures. The only thing that presses down is the load (weight) of that corner, and that load varies with acceleration. A stiffer spring or bar at that corner will change the dynamic load due to changes in load transfer, but the static corner load might stay the same.