It all depends on what is meant by 'better'. If better means more roll resistance because of a higher spring rate from one bar vs the other, then the thicker bar is 'better'. On the other hand, there are those who think that less roll resistance is better able to keep more rubber on the road due to more suspension movement during cornering.
So you should be able to answer this question yourself by doing some critical testing and thinking about what is going on at your limits of adhesion during cornering.
Oh, and there is an interesting hint in looking at racing photos. You know, the ones where the front inside corner of the car is in the air during a fast turn? Well, it might look cool, but it isn't the fast way around the course. It is indicative of too much roll resistance for that set up, be it from spring rates that are too high or roll bars that are too heavy, or both. When you roll up on the outside tire only, your tire patch shrinks to a small part of what the car needs, and you will experience horrid understeer. That isn't likely to happen with street equipment, but it shows what happens when things are taken to the extreme.
Hope that helps,
PH