Worked at precision lab, Julie Research Laboratoire in 1966..1968.
Your plots look typicall of the setup, réf, meter warm-ups or contact R variations with warmup.
So, copper TC or R is well known, as are all metals and common wire materials, just look up the TC.
Actual shunts and precision wirewound resistors use special zero TC wire or compensate TC with a PTC/NTC combo.
Enjoy
Jon