Four FJRs and had a variety of marginal wobble...sometimes exacerbated by a top case.
Never thought of potential wear or damage on tire or bearings except for if you were to keep your hands of the bars. I think the point of muting that oscillation does away with any potential for damage...beyond a tank slapper of course.
I've heard and seen many theories and voodoo over the years including tire pressure, tire life, bearings, suspension settings, aerodynamics of the top case, tire pressure, weight distribution, sunspots, fiber rich diets, etc. I just know the four FJRs I've had all seem on the edge of it--sometimes better and sometimes scary.
My personal superstition rituals lean on front tire pressure, new tires better, but mostly weight distribution with more of it forward. That and Hermione told me the right way to cast the spell to stop it.
No-shimmi-o'sUH!
I always attributed it to a steep rake/trail than cruisers or luxo-tourers.