The issue may not be slop in the system.
If the chock is not mounted vertical, as the spring moves the chock up and down over bumps the overall length of the steering system changes ...
I'd not thought of that!
I have a (very slight) forward rake in my steering chock post. I'll have to check to see how big the effect is.
One other thing I forgot to mention: the quickest fix is to replace the roll-pin (unless there is a lot of deformation in the hole).
All you need is a new pin; you can push the old one out by tapping the new one in.
I probably still have some in my "on the ice" tools/parts kit because I would regularly only notice the problem once I was out at the course well away from the pits.