If it feels random, it's probably related to tracking on road surfaces. If you get underneath, try wriggling the relay rod (AKA center link) up and down. If it moves easily, tie rods are worn. This is very common.
Also, ride height in the front will affect the caster. The lower the front height (compared to the rear), the less the caster. Because caster affects the on center feel, a sagging front end can make the steering feel unstable. I believe that I have heard on this forum that some alignment shops actually do check this and either advise, or go ahead and adjust. There is a specification and procedure for the ride height adjustment. Search this forum and Google for Z-height.
Personally, I wouldn't play with the steering box tightness unless you know for sure that you have excessive slop in the box. Steering on these Chevys is very light. I once adjusted the box tightness on my Grand Marquis, but that had over 300000km, and was 20 years old. At that, I only adjusted it very slightly to remove excessive slop.
Larry