Unfortunately, there are more than three possible causes of wander.
If you find one thing that clears it up, great, but don't be suprised if another does crop up.
1. Garbage steering box. Dealer did alignment, I tightened till binding occured, still not right, move input to box, pitman doesn't move. (New PSE box did the trick)
2. Bushing on steering box output shaft. (DSS will cure, or prevent)
3. Track Bar. (Profab)
4. Ball joints, I suppose if they are bad enough.
5. All those there tie rod end thingy's.
6. Tires sure can cause a problem, but not the majority of 4x4's.
7.
I have done 1, 2 and 3. My next change will be from the y steering to the t. with all new parts. Oh yeah and ball joints. They told me I had excess up and down play, no side to side. They told me that at about 40k, still running them at 107k
Right off the dealers lot, you could move the steering wheel 3 inches left or right of center without any movement from the tires. Dealer did alignment and was willing to replace box, but I was about 1000 miles away then. 2 other dealers said "thats the way all of them are". So I ordered a PSE box. Turn the wheel and the pitman arm moves. Unfortunately the tires don't. DSS was put on years ago, back when I was in Mass. The Dodge front end on the 4x4's has a lot of weight on it, but that doesn't excuse the slop right off the assembly line. If you sit under mine your going to hit your head, but if you lay down and look while someone slightly turns the wheel you will see the slop in the tie rod ends. I'll get to them someday, but then I won't be the wanderer.
On the 4x4's, if you stand outside the drivers door with the window rolled down, you can see both the steering shaft, pitman arm and tires. This helps in diagnosing where you slop is comming from, besides the dodge trough.