Reassembly is a known procedure because I've had the barrel on & off several time during the gunmaking process. I use business cards on the action wrench and normally a paper towel and a touch of rosin on the barrel.
My barrels are almost always new, not overly tight fitting and most often octagon held in octagon vise jaws in by Wilton bench vise. My normal barrel wrench is made from 1" square tubing, pretty lightweight by most standards. Many of my flat sided single shot actions are elaborately engraved and color case hardened so extreme care is required.
If a barrel is fit tighter than I want I will lap the threads until I achieve the proper tension. Witness marks and levels are used for re-alignment.
Let it be said that I have never removed, rebarreled or replaces a Springfield barrel, but I would use a similar procedure if I did. A crush fit barrel is Much too tight in my opinion.
I my advance Workshop we do a complete rust bluing (5 days) of students polished parts so they can learn the multitude of tricks and corrective methods I have developed over 30 years of rust bluing on their own parts. Also nitre bluing demo.
I no longer plug or coat the bores but am very careful with the solution, application, sweat box procedure and post clean-up. Plugging or coating the bore has no effect on threads or barrel joint weeping. I would be Concerned about rust in the threads if I didn't have the opportunity to properly coat the threads with rust proofing anti-seize on final assembly.
I often say, anyone can turn the metal blue by rusting and boiling, getting a finish as seen on a flli. Rizzini or Purdey barrel is quite a bit more complicated.
A couple different finished shotgun barrels, pretty shiny the way I like them. Both high polish and special carding procedure, Very Hot (aggressive) solution, 2 hour rusting, max.


Rust blued brl & tube, charcoal blued forend tip, nitre blued mag plug & screws.

Hagn action engraved & case colored ready for final installation

I'll see if I can find a barrel install photo tomorrow.