^Thanks for the sanity check re cap/resistor. I didn't see the purpose of a resistor, but seeing is believing and all. (And I stuck a large value, which in my mind did the least damage, lol). But with your vote of confidence, I went back and changed it to a 0.1uF cap.
The thing was still stuck, concerning adjustment. But I went this far, and I tweaked the resistor between wiper and input to reduce the impedance just a tad. Lucky me, the only 0402 I have are 105K. Stacked over the 1.8K on the board, this appears to be perfect. 180C at lower end. 350C just about smack dab in the middle.
I have a 24 V transformer here and I'm going to bodge in a zener on the FET gate and rig it up. It's a sad looking board by now with broken traces and wrong sized parts and lots of tiny bits of wire. I won't be able to trust it, but now I got something to do with the extra T12 handles (and the clone makers favorite knife tip) which I have accumulated. I think I'll soon have an iron for the garage for welding plastic.
In case anyone is curious, the range of voltage on the T12 TC I am seeing is roughly 3mV at 180C, 7 mV at 350C. This might be the only useful thing I posted in this thread, lol.
Damned if I can figure out how resistance ladder of 1.8K on top, 50R on bottom produces roughly 0.003mV. Then with a 5V 10K pot with 1.8K resistor in between wiper and node produces no change. Entire range remains 0.003V. But putting 105K resistor on top of the 1.8K resistor allows pot to change voltage between 0.003 to 0.012V. I wonder what the math is on that.
Behavior:
Unlike say Hakko 888, which heater turns on solid and remains 100% until it reaches set point.... then it abruptly changes to much lower duty cycle (and there is definitely thermal lag of the tip while it reaches equilibrium after this point), this circuit is 99% duty cycle at first, but it gradually slows down to a steady low duty cycle as it gets closer. And after this duty cycle reaches steady state, the tip is still lagging and begins to reach equilibrium after this point. I'm assuming no fault on the circuit. I think because the sensor is right on the heater that this is necessarily going to be the case that it will reach cutoff point well before tip is up to temp. I think it's half a dozen or one, six of the other, as far as reaches equilibrium from cold start, but T12 is able to respond faster to temp drop. Overall appearance/behavior appears to be identical to a Suhan 616 clone I have (even though it's a different pcb), and this appears to work perfectly fine in practice. Turning the knob produces instant change in behavior, stopping heater completely when you turn it down, and going very high duty cycle the instant you turn it up. And short of PID, I don't think this needs much improvement. I guess I would say that it works.
(And I have to admit that after observing this behavior I was wrong to underestimate benefit of PID. It should in the least improve the performance by a good measure no matter the unknowns of joint mass. Using 888, seems like the sensor is some distance away from the heater so overshoot kinda balances out lack of PID. But in T12 tip, any PID should give an observable improvement.)
Sorry to OP to take over thread with my own drama.