Here is a link to basic info on slope and inductance from ESAB.
http://www.esabna.com/EUWeb/MIG_handbook/592mig3_6.htmAs I understand it, high inductance reduces the number of short circuits per second, increases puddle fluidity, and reduces spatter. Excess inductance can cause arc starting problems.
I've seen it written that inductance is most significant in short arc transfer, but I have seen positive effects in pulsed spray transfer.
Back in 1983, while working in the weld lab at Dimetrics, a Pow Con engineer helped us design a suitable inductor to add to the new Metal Beam pulsed mig power supply. We first experimented by simply coiling several wraps of the work cable around a chunk of steel and this had the effect of improving arc stability and reduced spatter at lower voltage settings. The power source engineers then produced a small coil that was added into the power supply.