Distributor blues..

The pick-up coil (the reluctor is the metal piece on the shaft) is not heat sensitive unless it's defective.

I had a similar problem with a stock mopar electronic ignition where it would start instantly when cold or restart when hot but after sitting sitting for 15 minutes or so was very hard starting. Ran great when it was running so I figured it was fuel and tried all the normal tricks to isolate the carb and even tried several different carbs but never fixed it.

I figured maybe a hotter ignition would help and I added an MSD 6A. This did not help either.

Over time it got worse until I couldn't get it to start at all after getting gas one day. When I got the car home and trouble shot the issue turned out the coil was the problem. It was a Blaster 2 that I had been using for about 5 years. Got one of the E-core Blaster SS and the car starts instantly hot or cold ever since