I haven't drove another f body but chances are its normal. At least my car is the same way. But honestly who cares as long as nothing is broken? Have fun going fast straight, just not left or right.
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1994 Camaro Z28 18x,xxx miles New LT1 and built 4L60E - K&N CAI, Elbow, Air Foil, kooks LT headers, True Duals w/ Dynomax Bullets dumped, 160° stat & fans on early, EGR & AIR delete, EWP, 255FP, ProTrorque 3200 stall, Pcm for Less tune, ET Streets 13.336 @101.9 1.844 60' without the duals/ewp
Soon to be mods: s60 w/ 3.73 gears