Attached shows the previous data as well as the test I ran today. Note that instead of running them from -10 to 40C, I ran them from -20 to 60C. I also changed from a 1V reference to 1mV. We can see running with 1mV we can now actually get some idea about their drift.
While I have heard how poor the UT61E was, it is not as bad as the $300 Extech! Now again, I have been inside that Extech but I very much doubt anything I have done would have changed its TC. The UT181A that I damaged, repaired, modified the PCB out performed my BM869s.