I found the CTR's lack or torque to be it's down fall from a standing start (ex Civic owner here). In the dry, the LCR got the power down alot quicker and the CTR couldn't pull back the distance (a couple of car lengths, minimal I admit). On a rolling start, there wasn't much in it, I inched forwards, then the CTR and so forth. However, in the bends, I got eaten as the independant rear suspension on the CTR is much better than the beam on the LCR.
I think, in most cases with similarly powered cars, it's down to the way you drive. Not being a stranger to the track, I know where the limits are.