Stabilizer Bars - Do they worth the money?

[Apolan]

Concerning anti-roll bars. How i think it works: increasig the diameter of the bar ensures that more force is carried to the other (inner) side, as less torsion force is "absorbed" by the bar itself (it twists less because its thicker). Also i think the fatter bar gives quicker response. But too fat the bar - and you loose the independace of the front wheels. But this cannot be adjusted obviously - you pick the thickness you want.

Now the adjustable part is the lenght of the "lever". Holes are drilled at various distances. If you imagine a basic sway bar shaped like this -> l__________l -> then the lenght of "l" is your lever over which torque is transmited via "____________" to the other side. Now hereh is the part im unsure of (see the pic now).

So actually shortening the lever means more torsion tension in the transverse bar, less flex due to smaller torque, resoulting in more force transmited (more compression on the other (inner) side) and quicker response?

Is this correct?