Hi, Gary,
I have known someone remove a solid male spigot by applying heat, carefully, to the damaged spigot before the blank came to me, and I have known a couple to be drilled out on a lathe with a mandril that accepted the blank held in the chuck. The blank had to be supported with packing in the mandril and at its other end. Not at all easy, but possible. I suppose if the spigot is not repairable in situ, you have nothing to lose by trying heat. The assembly or the repairs I did, as an amateur, were mainly to glass fibre, heavy rods, for spinning, beach-casting etc on which the spigots were solid.
With carbon rods fitted with spigot joints, the spigots are often tubes themselves, stopped with a rubber filler. They must be harder to remove completely, but I have repaired two that were cracked in car doors, by gluing in solid lengths of fine spigot rod and binding the male end of the blank until the adhesive set. Because the female covered the cracked section, no problem, as yet. Mrtrout has seen a Shakespeare Radial Glider 2-piece, 6wt which I repaired in that way.
I don't pretend that the repairs were easy, and a long blank sticking out of a mandril has to be supported very firmly at each end to prevent it whipping.
I have seen one twirl like a helicopter rotor

And smash!
I couldn't vouch for the safety of a blank that was heated to loosen a spigot, but it has been done.
BTW, the only Airflo rod that I have is a replacement for one on which the male spigot stuck in the female and stayed there when I took the rod down
with no more than normal pressure. I told the guy in the shop that I couldn't understand how a tapered spigot could pull out of a male end and was told that 'they are not tapered these days, they rely on the adhesive to hold the spigot in place'. Yeah. What's that stuff that smells and is found in bull rings?
You've got it.
Sorry I couldn't be more positive or more brief in my reply. TC
I would prompt you to check out the Tackle Talk forum. There are likely to be one or two professionals on there, and they would definitely be better qualified than I am to advise you.