Well, I finally took the time to look for my manual archive. It makes a difference!
The original Paraglow (my manual is dated 1998) used a single section of the 5965 as a driver, fed from the 2A3 cathode with a single C4S. This configuration is completely immune to the high voltage at start-up problem, since the grid of the output tube cannot go higher in voltage than the cathode. If you have real original ParaGlows with only one C4S per channel and no other circuit boards, then you can use any tube you like.
There was a later "Paraglow II" which was John Tucker's modification of the original and added the shunt regulator circuit using the second section of the 5965. I am proud of having suggested it, though it was Tucker who actually built it. And I must in the same paragraph confess that I was so surprised that it made such a difference, I spent some time turning his amps over (one was modified, the other not) to make sure it was actually true. I may even have insisted we swap the amps between channels before I believed it. :^)
That ParaGlow II circuit ultimately morphed into the Paramount 2A3, with a re-designed shunt regulator design.