I read your test with interest. It is good to see, as
@Lavane stated, that your ‘scope did not reveal any visible aberrations on the phase inverter traces at 1kHz when the LM334 temperature was changed. But we know that the LM334 CCS current changes with temperature - the spec sheet says 0.33%/°C, so we know the operating conditions of the PI tube will change significantly from cold to hot.
I guess what you found was that at 1 kHz you can’t see the effects of temperature change on a scope. The big question is, can you hear it? Can you hear it in complex musical passages with a gazillion fundamentals, overtones, etc. that are perceived as music with spatial cues? Based on hundreds, if not thousands of VTA amplifiers out there with happy owners I conclude the answer is no, most listeners can’t near the unwanted variations in music, caused by changes in tube operating conditions due to variations in CCS current due to temperature changes. But I’m still going to try to apply the tempco fix to my VTA board.
I also agree with your installation of heatsinks. The spec sheet says the max current for a LM334 is 10 ma IIRC. So, at 8.5 ma that the VTA board are running it we are too close to max for my comfort. But again, all those happy VTA owners out there don’t seem to have problems with failing CCS.