Hi there, Shrink!
Oh, don't worry. I'll still correspond with you, even if you really ARE a psychologist! All of my kids are social science majors. I still talk to them!
As for your question on the Trapdoor Springfield, I don't believe that your cleaning rod is, or rather, should be, "threaded". Those grooves on the bottom end (end closest to the lock when stowed in it groove under stock) are "grasping grooves", and look like coarse threads. They allow your fingers more purchase when using the rod.
Yes, they are easy to duplicate on a lathe by anyone that can do a simple lathe threading operation. Any machine shop or gunsmith can do it, but FIRST you have to provide the thread pitch!
"Browning" (rust bluing) the rod is a it trickier. It requires a gunsmith set up to do the rust bluing. Or you can settle for any of the cold bluing solutions, but they lack authenticity.
HTH
John