My mind is always trying to figure ways to solve problems, and I just thought of this. Steve, Kutter and others who have more experience, please comment.
In lieu of gluing in a thin wafer of wood, then re-inletting the pin to the correct depth, I wonder how well it would work to use cyanoacrylate glue and build it up with a mixture made from it and walnut dust. It should be very easy to control the application of it, and it would seem to me that it would harden sufficiently to provide a solid seat for the underside of the pin head. I know that type adhesive is used to strengthen walnut in areas that are subject to compression and cracking, because in its thinnest form it soaks into the grain freely. Once thoroughly dried, one should be able to relieve the built up area to clock the pin slot.
I have several little jars of walnut dust, in various hues, in my shop that I captured with a belt sander for hiding repaired cracks in stocks, with cyanoacrylate.