Congratulations on the finds! I think every one that we acquire before the available supply is diluted with WIP's, new production and knockoffs is a good score for our collections and use.
I don't own one of those Buzz Saw 97OT trappers, so I can't examine the pick to see how it was originally assembled, and we don't currently have a former factory rep on hand, or copies of the manufacturing process sheets to tell us for sure. If I were designing the process myself, they would be comoulded onto the pick shaft which would have dimples or grooves to prevent just such a detachment. Economics may have dictated a seperately molded head though, so a cynoacrylate adhesive would be required for bonding the head to the shaft.
In either case, the "Super Glue" (Methyl cyanoacrylate, C5H5O2N) would be my first choice for reattachment. Why doesn't it set up in the tube? Because it has an inhibitor in it. In a fillet (enclosed space) the glue is very slow to cure because the inhibitor is restricted from (a) evaporating (b) reacting with atmospheric moisture to deactivate it. That is why there is a seperate activator made. The best source I know of for both the activator and the cyanoacrylate is a rearview mirror repair kit available at all auto suppy stores and of course the big "W".
Just remember that the strongest bond involves the least glue. After using the activator, dip the tip of the pick shaft in a drop of the glue then insert it fully and immediately. This well be way less than a drop, and should give a complete and undetectable repair bond in an hour max.
Did I confuse you enough? Tell me if I am wrong here guys. As I said, I don't own one!
Codger