Well, it was a nice sunny weekend and I decided to get under the hood. My intention was to just replace the spark plugs and see if that fixed the problem. Once I opened the covers, it was evident that I was duped some 4 years ago! I had the plugs and cables changed the last time around. I found that I still had the original cables from 1993 in the car. Needless to say, I snapped two of those just trying to pull them off the plugs. The plugs still looked very clean which tells me that everything else is running good in cylinders.
Special tools needed: You need a 5/8th inch deep (6" deep) spark plug socket (had the rubber catch to snugly grasp the plug) to do this job right. Also, use dielectric grease at the cable contacts. Check plugs for 0.044 inch gap. A long slender pair of nose pliers will be handy if you snap the cable end on the plug. You will have to pull the broken piece off before you can reach the bottom of the plug with your socket.
All said and done - the hesitation, jerking, shuddering is all gone now. The engine runs smooth. Conclusion -- old and bad spark plug cables was the likely cause.
I did not have the patience to mail order NGK-Iridum and Vitek cables. I went with the local AC Delco after market cables, autolite double platinum plugs from the local parts shop. Will see how long these last. While I was at it, I did my annual Mobil 1 synthetic oil change. I change engine oil every 15 to 20 thousand miles, have always used synthetic oil only. Every year the old oil flows out smooth and clean with good viscosity still intact.
This is one of my first LS400s (1994) and I have now over 200K miles on it. Still runs like a champ! As you can see, I am pushing the limits of sanity here with oil change etc. This engine is very well designed. The less you muck with it, the longer it will last!