My $0,02s input
Punches used to drive out reamed in conical pins, like used in a coupling collar that connects a sleeve with a shaft, need to be short and as hard as practically possible.
The conical pin is hard to drive out and with a non hardened punch, the energy applied by the hammer to the punch is absorbed and converted to heat in the "soft" punch. The conical pin won´t budge.
With a short and sturdy hardened punch the conical pin jumps out directly .
Ola