UPDATE!
I finally took the plunge last week and replaced the trimpot with a TL431 (2.51235v) which shouldn't be too far off its tempco inflection point. I simply mounted it so it sits tensioned against the upturned edge of the base plate to hold it some 2 or 3 degrees above the heat spreader temperature (36.050 degrees +/- 10mK), hopefully, stabilised somewhere between 38 and 39 degrees.
After doing a test with a 1.5v test voltage across the pot, I'd determined that it had been set to output 3.2 volts or so. A little further away from the hoped for 2.5v mid point than I'd have like but since the thermomechanical induced errors and the rather poor adjustment repeatability setting specifications would be banished forever, I decided to carry on with the mod knowing that I'd now be relying on resetting the external calibraton to its mid point using a selected fixed resistor value to, in this case, pull the frequency adjust pin down towards the ground rail potential.
After doing 'some math' I chose a suitable resistor to test with, followed by more math to refine the resistance value yet further before 'permanently' mounting the extra resistor against the heatspreader to run an overnight test. which revealed a large frequency swing on account I'd overlooked the fact that the benchmeter had been adding its own 10M to the additional 10M I'd strapped across the 820K resistor I'd been using.

I'd switched the bench meter off before I went to my bed which isolates its input from the outside world, thus disconnecting that additional 10M shunt impedance from across the circuit, So yet a third go at finalising the external compensation resistor network. I landed up using a 280K (made up with a pair of 560K 'cos my book of 1208 1% resistors had a strip of 910Ks where the 270Ks should have been placed,

I also replaced the 3.3M padding attenuator resistor with a 1M in order to double the tuning span and compensate for the reduction from 150K at the tuning pin down to 100K.
All in all, a rather more complicated job than I'd hoped for. At least, If I need to readjust the external pull down resistor value at a later date, I won't have to open the LPRO-101 again to fiddle with its innards.
Initial tests were promising in that there now seemed to be less startup drift post base plate stabilising at the 36.05 degrees set temperature. Reassuringly, the time from stone cold power up off a 19v laptop charging brick to atomic lock was its normal 191 (+/-1) seconds. At least now, I don't have to contend with the stochastic effects from a crappy internal trimpot (the range of adjustment offered by the external frequency trim adjustment alone is way more than ample for my foreseeable needs).
I no longer find myself having to make random re calibration adjustments to keep up with the internal trimpot's lack of precision and stability which had been the whole point of this exercise in the first place.
BTW, I've attached three screenshots of the Arduino's serial plotter output of baseplate temperature values (about 6.4 seconds' worth) showing a total of 500 points, including those re-scale defeating 'spikes' inserted every 498th point (a useful side effect that allows a stopwatch to be used to measure the control loop cycling speed - currently 78Hz). The display is typical over an ambient range of 14 (or even lower see the footnote) to
27 30 degrees. The Y axis is scaled in mK with 0 corresponding to the original 36.000 deg baseplate datum temperature point.
NOTE: I've not had a chance to re-verify the low ambient temperature tolerance test result down to 4 deg that I got before fixing a serious bug in my temperature regulation algorithm.