that idealistic current curve far from the real thing , i got TC=0 mA as 1.34 (was 2.2) and 1.43 ( was 2.4) , a good thing it not so steep curve, so steps of 100 ohm for resistors works well.
yeah that Vishay resistor ... you can ring connectivity what resistor directly attach to zener and +12 volts , right? ...
see ... LM399 not involve directly to measurement ... it a reference point to recalculate exact value periodically, for example 2001 do it every 90 sec (approx.) but ,it basically take a set of signals such as: reference , input, and az-point that measured every cycle connecting it by ADG switches to adc input, and then recalculate it. and correction of AZ + reference ( I personally believe it averaged value) change value periodically ... as it not a direct measurement it will up and down ...
noise, spikes.. averaging , a few days :
https://i.ibb.co/V0RSqNYM/voltage-deviation.pngbtw.. when mount adr instead lm , i would personally do not cut legs ... but bend it accurately in the way to make some sort of sprig, the way of mechanically separate package from the board. add an additional enclosure , and expect to drift it for 1 year at least ... in hope it will stops ...so maybe i wouldn't do it ...