Ok, so I've been a bit of an idiot. When I saw the "Calibration" option in REW, I reflexively thought it would be similar to the calibration process in the DATS software.
It Isn't.
The calibration process in the DATS software is done as follows:
1. Short the leads, run the "test lead calibration" option.
2. connect the leads across a known resistor (1 kOhm), run the "impedance calibration" option.
The REW impedance calibration process requires that the SENSE RESISTOR be shorted and the leads be left disconnected in the first step. What I did was short the leads (as that was the normal process for the DATS calibration), so obviously the resulting input during the calibration process was a lot lower than what REW would expect to see. Still, interestingly enough, the resulting graph provided exactly the same value for the impedance of the test leads as that generated by the DATS test lead calibration process.
As REW requires the sense resistor to be shorted as part of the calibration process, and as the "sense resistor" is built-in to the DATS hardware so there's no way to short it, there's basically no way to complete the REW impedance calibration process when using the DATS hardware.
Now, if there was a way to select an impedance calibration process in REW that followed the DATS software method instead...