No, it won't.He wouldn't be soldering any of them together. He would have the current leads where they presently are and then move the voltage taps to a separate location on the pins. That should work for him. The idea is to move the voltage taps inside the voltage drop associated with the current injection joints and putting them to the outside of the solder cup will do that.
Just be sure we are commenting on the same arrangement I have drawn up a mock drawing of what he is trying to do.
The following circuit diagram will show the electrical equivalent and why using two connections to implement a Kelvin type connection does not work. The voltage drop will also include the pin resistance, and worst of all, the variable contact resistance on both ends of the unknown resistor.
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