LDM, for what is worth, I just checked my slab results from the first test of the 6x7 cm unit.
At the input of 207 W, the 35 mW/mm2 is obtained. It happens that I had a 208 W input step, at 61.02 V true RMS, with a peak internal T of 722.5 C, and external T of 631.9 C at steady state. So I can easily dial up 61 V and see how long it takes a small slab to heat up to steady state. Not really comparable to Lugano, but possibly informative, grossly.
I re-calculated the temperatures for Lugano using radiant power matching to arrive at the equivalent temperatures required to reach the same radiant power at different emissivities per steradian, which bypasses some complex calculations. The Optris software agrees very closely with the results of that method.
Where a complication is introduced into the Lugano figures is the use of the recursive emissivity method applied to the camera emissivity using the Plot 1 values, so that the original emissivity is not directly calculable by any method (if at all) and therefore the original temperature that was detected at some "original" emissivity setting, is in doubt. So we can calculate alternate temperatures based on alternate emissivities at some constant radiant power level, perhaps even perfectly, but the original temperature-emissivity measurement has been obfuscated by the manipulation through the recursive method, and therefore the actual measured temperature-radiant power level detected by the Optris is uncertain. Perhaps this is why you get lower temperatures from the model.
It should also be remembered that the temperatures reported are composites of those of the respective measurement areas for the main tube and and the caps. This introduces yet more uncertainty. Interestingly, this means that some locations would be hotter than the reported 1410 C maximum, in turn meaning that the coil temperatures would be even hotter than some already very high temperature estimates, if the reported values were taken at face value. (Regardless of whether there was reaction heating or simple Joule heating, or some combination of the two).