I don't think weight transfer has anything to do with suspension oscillation.
So let's look at weight transfer in more detail.
Exactly as you say, the torsion bar transfers weight from the wheel on the outside of the corner to the wheel on the inside. On cars with independent suspension, it plays a very important secondary role of trying to keep the wheels closer to square with the ground, but on live axles this obviously is not affected until a wheel lifts off the ground.
So as you corner, the inside wheel has less force pushing it into the ground, and the outer wheel more. As you make the roll resistance of a specific axle greater, this will happen more for the wheels on that axle, and less for the other axle/s.
What is important to realize is that handling balance only comes into play when one or more wheels start losing traction.
This will have the effect of reducing the cornering force reacted by the inside wheel of the high-resistance axle, and try to apply more to the outer wheel. However, this is already the most highly-loaded wheel, and it is thus starting to lose traction. On a live-axle 4x4 with high-sidewall tires, the tire is also probably rolling and deforming significantly at this point, further reducing traction. Therefore a higher rolling resistance usually results in less traction on that axle.
So the rule of thumb is, the axle with the highest resistance to roll is the one that loses traction first, and thus determines the handling balance. If the front axle loses grip first, the car will tend to understeer, or plough on straight.
Conversely, if the rear axle is the more highly resistant to roll, the car will tend to oversteer. IE the tail will start coming around and the car will either spin or drift sideways somewhat. This is when cars roll. Usually, one of the sliding wheels hit an obstruction and that throws the car over.
Thus if you remove only the front anti-sway bar, you are creating a situation in which the car will be more likely to roll in an accident.
However, it must be noted that it's not as simple in reality. There are many other factors that also contribute. The springs (strength, position and angle) as well as weight distribution, tires, suspension angles and many other factors play a role here.
Remember that SA GQ's came standard with an anti-sway bar only at the back, and the handling balance on those is still OK.
Also note that this is not the only factor affecting road safety. If the car understeers very badly, it may not be able to avoid hitting an object that a more neutrally-balanced car may easily be able to avoid.
Mag ons ons kenniskry met lekkerkry aanhoukry.