I don't have the numbers you requested, but I had an '06 Z06 and have a 370. The 370 feels significantly more rigid. Actually, my pop's '10 Camaro felt more rigid to me than my Z06. The Z06 isn't a wet noodle by any stretch, but it doesn't have that billet-solid feel.
The Z06's aluminum chassis seems to have a tiny bit of initial flex, then tightens up. For example, when going up a driveway incline on an angle, you feel a small degree of torsional flex, but then it stops. It's tiny, but noticeable. Regardless, the car is certainly capable of handling its power (and more). Mine was fairly rattle-free, too.
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