One thing I failed to put into account at first was the Winter.
When I first got my UNI-T 61E, I got a 5-pack of 0.1ohm 1% current sensing resistors. When I first got it, they all measured 0.1 ohms after I delta out the test leads' resistance. A month or so later, I found them all to be a good bit higher (0.12 to 0.17). Even my 61E test leads went from 0.06-0.10 ohm to 1.0 to 1.5 ohms range.
After making a post here about why test leads has such high impedance, another EEvBlogger posted that he tested the UNI-T lead to be (around) 0.03ohms each. It was that post that I recall - wait, when I first got the meter, the two leads where in the 0.0x range, not 1.x range.
As I was puzzling over it, I feel my dry hands again, and I reflectively reach for the hand lotion on my desk, then it hits me... In the cold dry winter, I use a lot of hand lotion. Particularly when I am using my hands to do things like holding a wrench, stripping a wire, so forth, it get so uncomfortably raw. Every couple of hours, I pasted my hands with hand lotion or Vaselin to stop my skin from cracking. The Vaselin was getting on everything. I soap-cleaned what I could (with alcohol wipe after), and life was better - the leads were back down to 0.08 ohm range when I touch them together. It is a month (or two) later now, my test leads have since added about 0.4ohms worth of hand lotion.
I would ask the store clerk if they have low impedance hand lotion, but I think it would probably be more than I want to pay.