You can't adjust the castor side to side on a solid axle. As you rotate one side to adjust, the other will follow. All you would be doing is loading up the bushes which would cause premature wear.
That's kinda my point. Generally speaking, you wouldn't be adjusting it differently from one side to the other unless the axle housing was bent or warped.
Though it's not universally true that if you adjust one side the other will follow. Ask anyone who's run the poor man's three link (hitch pin mod) and had trouble getting the hitch pin back in.
The arm-to-axle mount is what adjusts the caster. So if it was absolutely impossible to adjust the caster on one side without the other following, in theory I should be able to take out the hitch pin and put it back in at any point in time, as it'd always line up. But that's not true. In fact, that arm has pivoted enough to damage some folks mounts, which tells me that it can move around a
lot.
As clownmidget was trying to get at, it's not quite as simple as you (and Pin Head) are making it out to be. You could go extreme negative caster on one side, and extreme positive caster on the other, and actually get that. Your axle would pivot in a
very odd (and dangerous) fashion, but it'd do it. The only reason it can do this is because it's not fixed, because the arms are free to move up and down, the axle will pivot around the two remaining points that don't change (the rear mounting points).
What you'd end up with is an axle that looks a lot like it would if the hitch pin was out and the front end was flexed. Basically you'd have one side that was shorter (height wise) than the other, and said shorter side would also be further forward than the taller side. The rear would compensate somewhat, but I bet that the body would have a lean to it (if you went far enough).
Now obviously this is taking things to the extreme. But I hope this illustrates how it is actually possible to set caster per side (as clownmidget was saying).
In reality, in the very small amounts we're adjusting caster, it probably wouldn't make any more difference than loading up the bushings and causing wear or tear. But it's certainly possible for someone who didn't understand what they were doing to get themselves into a situation where the vehicle becomes dangerous to drive (E.G. adding adjustable caster to only one arm, and leaving the other fixed).