It's a bit pointless arguing about the TC and thermocouple effects on the performance without knowing the material used in them or the way that it's finally mounted on the PCB. I tried one for some weeks along with a new LT LM399AH and although the TC for around 25-50°C was a little worse it did not have the popcorn noise that the new one had.
I cut one open and it was marked LT on the die, but the fake case was marked NS.
2015 NS parts are amusing
Reclaimed parts may have suffered a lot, and the 'refurbishment' only adds more. I noticed that someone doing high temperature tests on them got a lot of furry corrosion on the leads too. Others mentioned that the legs came off on some, so long term stability could be another problem.
Overall, I would much prefer just plain used parts to refurbished ones, but they are usually way too close to the price for new ones. Refurbished ones are a curiosity, but add too much uncertainty for my liking.