I'm no expert on Model A steering, but I replaced the spindle bushings and bearings, the drag link and tie rod parts last winter. Little Bug's steering is now pretty good. She has the short pitman arm.
I too wondered about the wider radius as I had seen comments and found that the backing plates were hitting the extended spindle lock pins as Keith states above. The lock pins are the stops for the steering, right??? My thoughts were that this meant that the worm gear had some extra thread left at each end of the travel with the longer original pitman installed. I believe that the turning radius is unchanged as Keith stated in post #6.
As far as the slack in the steering being magnified at the steering wheel, this makes sense to me. I am familiar with the functioning of bell cranks used in aircraft ailerons control systems. The shorter pitman arm is approximately 1 1/2 inches shorter as I recall. This would mean that the shorter pitman will need to move a greater number of degrees rotation to move the drag link fore and aft the same distance that the longer pitman would move the link with fewer degrees rotation. The short pitman will magnify the slack that is out in front of it, but not slack in the steering box???
Well, I've stuck my neck out this far, I might as well finish lynchin' muhself. LOL
The shorter pitman has the effect of lowering the gear ratio of the steering for the
driver's ease of turning. Kinda like putting a bicycle into a lower gear going up hill.
As for a car that wanders over the road, or even shimmies, I'd check the toe in first.