I have interchanged P13, P14, M1917 and Remington Model 30 barrels into receivers - at least hand turned them in - they fit - are the unusual today "square thread" profile, not "V - groove" threads. No clue how to cut them - I suspect that a specific thread cutting tool has to be ground to make that thread shape. As per that "sticky", looks like a Springfield might have same thread and shank diameter, although the Springfield shank is shorter. I found that the BSA sporter conversions not near the battle to remove the barrels, compared to some WWI P14 and M1917 - maybe 40 less years of rusting, or something. Is not a "slam dunk" to unscrew those originals, without the receiver cracking - when unscrewing the barrel. And that is with using a proper barrel vice and a snug fitting proper action wrench.
Pulling original milsurp barrels always an adventure - I unscrewed a rusted out No. 4 barrel yesterday - that one took a good smack with a 6 pound sledge hammer on the action handle to break it loose - is a Maltby, so likely WWII production.