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gbj_tester
My old boss and a couple of colleagues helped develop the composites on the Lotus bike. It was a big step up in aerodynamics but they all said it was quite flexible.
2x2 carbon has a modulus of about 120 while something like 6061 has a modulus of 69 (according to Wikipedia). The section of that Fork Seatpost Clamp Included High Quality 700C Alloy Track Bicycle Frame Set Cycling Fixed Gear Bike Frame is quite small so it would have to be chuffing thick to make it stiff!