Not that I am a betting man, but if I were to throw a wager out, regardless of the pulling method, my best bet would say that the agitator would pull up off the spline leaving that drat thing on the transmission shaft, rather than it coming off intact with the spline remaining in the agitator.
I've encountered this many times, albeit more on the Bakelite agitators than the poly, but I too have pulled an early poly agitator right off the spline. And when that happens it's time to get the Dremel out and often the shaft is toast. The rust bond between the pot metal spline and the steel shaft is almost always too strong to slip it off.
The methods of folks using massive amounts of heat/rope/etc. seem to be more successful on the integral spline agitators (made after Nov 1967).
Good luck to you in your quest! The restoration efforts you've put into this machine have been a flawless example of perfection.
Ben