How is it way to hot?? People use 3000f to anneal for a set amount of time. If only dipping the necks for 5-8 seconds, you aren’t over annealing. Temp (500c) is transferred thru the neck almost immediately. They get no where close to melting temp of 1800f. Still not seeing why a high end controller is needed for this. On-off is fine for what we are doing. It is keeping a range not to the degree. KISS principal works fine here.
For the most part you do NOT want the neck annealed to 'dead soft.'
It will not produce adequate neck tension until it has been loaded and fired a few times.
3000F of flame temp is not the same as immersion in salt in terms of heat transfer.
The burning gas is far hotter, but has a far smaller mass.
It is not all that clear if the cases being anneals are de-primed.
The salt heats from both sides when I anneal de-primed cases.
Using a simple bang-bang thermostat always produces a larger swing in the actual temperature.
It would likely take an even more extensive series of test to determine if it produces an actual difference.
The thermostat on my pot failed long ago.
I had a spare PID controller and K thermocouple sitting around.
It worked so well I never bothered fixing the thermostat on the pot.
In stead of arbitrary numbers and experimenting to get a desired temperature I can
fat finger a temperature value into the controller and it gets there very squickly with little overshoot.