I don't like to use just one LL, whether on the vehicle c.g. or not. I figure that a LL placed perfectly on the nominal c.g. will be out of position anyway if I later have to add nose ballast, or do a tail repair, or use a heavier motor, or . . . you get the idea. I usually use at least two LLs, spread apart a few inches on either side of where I think the c.g. will be. When you examine the dynamics of a rocket launch (even a low-power one) you will see that the elapsed time between these two spaced LLs is just about nil. For practical purposes, there is no chance for any transients to tilt the rocket as the fwd lug clears the tip of the launch rod.
If it is a really long rocket I will also add a short piece of LL near the front, to help hold the rocket steady on the launch rod on a windy day.
Note: the above comments apply only to sport rocket designs. I do not use lugs on competition rockets.