Here is my story. I bought my 2004 Wrangler Rubicon ~2 1/2 years ago. It came with American Racing Wheels and 33x12.5r15 tires. The tires were BFG Mud Terrain. The tires were well worn and noisy. I changed them a few months later to some Mastercraft tires. My Jeep drove OK for 10,000 miles, and then I started getting the wobbles. I fixed some things (changed trac bars and pittman arm - Jeep came with a skyjacker lift kit) but the wobble didn't get much better. When I ran out of talent, I took the Jeep to the local 4x4 guy. He found 2 of the tires out of round. I had the tires trued up, and things were OK for a spell. When the wobbles started again about 5000 miles later, I decided I needed different tires. I bought BFG All-Terrian K02s. It was really hard getting the Jeep to run smoothly with the new tires. One of them took a lot of weight to balance. One of them had to be trued. Knowing what I know now, I'm thinking my wheels got put on the hubs without them being centered. The whole process was a pain in the ass. I decided to upgrade my Jeep, and added Currie control arms and Currie steering. The Jeep drove great after that.
Last July, I was towing my Jeep behind my RV and the steering locked ~10° to the right. I didn't realize this until I ruined the passenger front tire. I put my spare on, and continued on my trip. When I got to Colorado, I noticed a slight bounce/wobble at 50 mph. I took the Jeep to a tire shop to have them check the balance on the former spare. The tire tech said whoever balanced it didn't know how (seems like they always say that). His balancing machine indicated it was going to take 2 pounds to dynamically balance the tire and wheel (I was looking over his shoulder). He didn't think that was a good idea to use that much weight and I agreed. We statically balanced the tire, and I took a test drive. The bounce was worse. I knew my rear tires were a matched set (put on at the same time), and had been balanced, so we moved the back tires to the front. The test drive found the bounce was even worse. Looking back on the experience, I feel like the tire tech was not getting the wheels centered on the hubs. I left the Jeep there for them to work on it. When I went back a few hours later, the Jeep was driving good except for the slightest wobble at 50 mph. I decided I could live with this until i got home. When I got home, I bought 2 new tires for the back (I used the best take-off for my spare). I was still dealing with a little bit of a bounce at 50. I was concerned that the towing problem might have damaged the u-joint or hub bearing, so I pulled the front wheels off to check the axle components. All was well. When I put the wheels and tires back on, and went for a test drive, the bounce was worse than ever. Damn! I suspected I had a tire out of round again, and the bounce got worse when I put the wheel/tire on in a different orientation that what it was before I started my work. I went to my tire truing guy again. He is the one who told me one of the front wheels was off center. He centered the wheel and my Jeep drives like a Cadillac again.
Conclusions: 1. I didn't know that lug centric wheels could be installed so that they were off-center. Some of the tire jockeys that worked on my Jeep didn't know that either. 2. I am convinced the problems that i thought were caused by bad tires were really about how the wheels were installed. 3. Armed with all this new knowledge, I do not expect to have tire/tire bounce/tire out of round problems again.