Critter's right. The path of least resistance on torsional forces is the traction patch -- those little oval shaped areas where the rubber, literally, meets the road. They will give way long before anything on the car breaks.
As for the notion that the tunnel brace was intended only to protect the underbod, all due respect, no sale. The cars have a very tiny center section, and needed something to tie the sides together.
Honestly folks, there is no good reason not to stiffen the chassis with a Backbone and Pro Beam. Drive it as hard as you are able. It will not hurt the car in any way.
I have a Race Backbone and Pro Beam, and a very stiff BC Racing coilover suspension, carrying spring rates more than double ZOK rates. Overall the setup is far stiffer and more rigid than most would consider comfortable. I autocross mine hard every weekend, and the game there is to try to stay at the outer limit of traction all the time. I also drive it on the street every day, in all kinds of conditions, including a 500 mile round trip up to Pittsburgh and back last week which included 2 harrowing hours in the mountains of PA in severe thunderstorms with standing water up the rockers and zero visibility. I have encountered bumps and wrinkles at very high speed, and have the car sideways lots of times.
In other words I pound the crap out of my Kappa, and it is up to the task; plenty strong and solid. If I ask too much, in straight line, or tossing it into a turn, the tires break traction. That is all.
Carrying the Pro Beam and Backbone decreases the unwanted chassis movement that makes for "noise" and unpredictability in what you feel in your seat and hands when you push the car to the limits. And that's a good thing.
Finally, consider this. The first thing they teach you in track school is that the average passenger car's limits are far, far beyond where 90% of average drivers, and 80% of would be race drivers, think they are. At one of my first track schools at Summit Point, and instructor popped the hubcaps off of a basic Enterprise rental Dodge, and took it out on the Shenandoah Circuit, and with plain old street tires screaming, turned times that were better than most of the prepped cars in the "red" driver's group. That was an eye opener. Kappas are bred for performance, and their limits out of the box likely exceed the average rent a wreck. In other words, you'd have to be the Stig to worry about breaking this car just from pushing it too hard, provided you don't lose it and hit something.