I would guess that it doesn't make much difference. Resistance of binding post is most like in order of milliohms* while speaker is in ohms. For the Damping Factor, speaker impedance is mostly resistive and in addition there are inductors in series. Woofer inductor is most likely 0.1ohm. There might be other factors that affect the sound but not conductivity IMHO.
* - Binding post is in order of 0.4"dia corresponding to AWG000 wire. Copper wire AWG000 resistance is 0.2mohm per meter. Stainless Steel is 50x worse than copper but your post is also not longer than 2cm (1/50x1m). Result is under 1mohm.
* - Binding post is in order of 0.4"dia corresponding to AWG000 wire. Copper wire AWG000 resistance is 0.2mohm per meter. Stainless Steel is 50x worse than copper but your post is also not longer than 2cm (1/50x1m). Result is under 1mohm.