Success...........FINALLY! For the first time, I am really happy with the shine on what were previously abused LHS color 8 shell's. Before I share my method, I want to say thanks to all of the members of this site who graciously gave advice.
First, there is really no sage wisdom I can impart. The overwhelming majority of my time involved good ole elbow power. While technique definitely helps, this is mostly an exercise of effort and perseverance. After seeing some of the amazing shines on this site, I was determined to make the effort.
My last 3 shines I have started off by scrubbing slightly with a damp/wet towel (aka Mac method). I have also declined to use any polish or wax as I attempted to completely remove all residue and leftover polish. This was the first time that when I finished wiping with the damp towel that the towel was completely white. This gave me comfort that I had finally got all the old gunk out. The last time I cleaned them I used a bit of Saphir renovater and this undoubtably helped in this regard.
After wiping, I brushed with a horsehair brush for about 5 minutes per shoe (until it felt like my arm was going to fall off). I then boned each shoe (still can't say that with a straight face) with a dear bone. Rather than boning one and letting it sit while boning the other, I boned a shoe and immediately brushed with my horsehair brush. I wanted to spread the oils that the bone raises immediately after boning. Moved to the other shoe and used the same procedure.
Used a little Saphir renovater, brushed, and buffed. Then, for the first time in 3 cleanings, I applied a tiny amount of Saphir cordovan wax. Brushed some more and buffed. Then brushed some more. I'm finally happy with the results. Unfortunately I don't have any before pictures, but here is the after.
Again, thanks to all for some very good advice.