The contact area increases thermal transfer though, unless you have thinner contact leafs. To me it seems like you should be using something different for no current measurements. If you solder them it will eventually break.
What I had in mind is to make egg beaters out of the 34 or whatever gauge spring wire, then silver braze two of them together in a [ shape. But I am not good enough with wire yet to make that. The contact should be good and the thermal transfer should be neglegible.
That's why I thought brass too, because the thermal transfer is worse. Same with BeCu. But there is thermocouples then.
Stainless also has very low thermal conductivity, with titanium being around there too.
Other idea was to make mini stainless egg beaters and dip them in my crucible 'silverer' but it would loose spring.... it would need silver electroplating (which I don't want to get into).
But I have seen those banana connectors before and they probobly do have very low thermal mass. The pipe ones
Another option is to have a helix leaf spring with a 'thing' in the middle, so you can hold it, "wind it" (and pull on it), insert it into the connector and have it expand in there. When you twist a helix leaf spring it should shrink a little in diameter . This one would need some kind of 'key' for installation and removal though. And it would have a single fine wire inside bonded to the spring, so the spring is the contact, but the contact weld is deep inside of the spring (near the depth of the bore)

Kind of like a reusable heli-coil
Low mass design gets ridiculous and annoying
I am sure the metrology guys would love to have a micro sized 'utilities key' for installing DC shorts.
https://inspectoroutlet.com/products/sewer-cap-wrench (this one is a meter long)
https://www.yamamoto-ms.co.jp/en/product/b-72-p14/ - spiral contact for testing electroplating (inspired the idea)
https://specialtytest.com/product/spiral-contractometer-includes-two-calibration-weights-0-5oz-one-teflon-coated-spiral-instructional-dvdextra-wire-repair-kit/ - device
- instructions
Oh yeah and the entire assembly would be two of these special micro leaf helix springs, connected by something like a 30AWG wire that has two styrofoam plugs on it (which you insert into the banana connector when you insert it), and then a tiny two piece Styrofoam clam shell that you put over the tiny wire loop after its installed (with micro magnets), and you would need to wait 30 minutes for it to equilibrate before you measure zero. I think it would make employees happy and calm to use this robust assembly.

Just thinking about it makes me want to reject technology and go to a tibetan monestary