SIdecar Flip,
I hate to disagree with you, but will on a couple of points..... I quote "Weight to one side won't really effect the steering because you naturally shift your body to compensate, it's called countersteering...."
Not exactly.
Countersteering has nothing to do with weight to one side. Let me give you an example of countersteering. You are riding in a straight line and want to turn left. Rather then turn the bars to the left, you "push" the left hand bar forward (essentially turning the bars to the right which is "countersteering") causing you to turn left. If you want to turn right, you "push" the right hand bar forward and the bike will turn right. That is countersteering. Try it and you will see what I mean. Road racers use this technique most effectively. I can explain the physics of it but will pass on that for now. You can read about it in a book called "twist of the wrist" by Keith Code.
Next item, I quote....
"If the bike veers to the side riding hands off, it's mostly the headstock bearings, either preload, flat spotted or rough from corrosion internally."
No, not really. I have ridden many an older triumph with flat spots on the steering races. You will feel a notch but you will also find the flat spot is mostly centered. There are physics to explain this as well. Corrosion will not cause it either. His issue has to due with frame/wheel alignment. Other causes may be tires or.... an uneven road. There is a road by my house that when you ride down it you will swear your bike is pulling to one side. It is a small rut made by many many cars traveling over the same area and the tar has leterally, sunk to form a small rut. You cannot see it when traveling at highway speeds, but you sure can feel it.