I'm by no means an expert, but here's a little of what I've picked up along the way. I'll not get in to the relative safety of dry-burning different wires, as that's beyond my level of experience, but instead I'll talk about actual performance while using the device. If any of this is wrong, I'm sure someone will be along to correct me soon enough.
Let's assume for now that all other variables (wire gauge, coil wraps, diameter, etc.) are the same, and only the material is changing. So if you build the same coil, but out of a different material, it will have the same dimensions, same volume, same surface area, etc., and only the resistance will be different. Now, there are two things that really dictate what's going on at the boundary between the wire and the wick -- that's where all the action is, where the actual vaporization occurs. First is the "heat flux", or the amount of heat energy that actually moves (is "in flux") from one location to another. This is measured in wattage per unit area, usually in the units mW/mm^2 (milliwatts per square millimeter). The second is the actual amount of surface area through which this heat is moving. If you multiply "watts per surface area" by "surface area" you see that you end up with simply "watts." And if you dump the same amount of watts, into the same amount of surface area, you're going to get the same amount of heat out of it, regardless of the material.
So, in a nutshell, for a wattage-regulated device like your Tesla 120w, you shouldn't really notice any difference in performance between the two wire types. Some people claim SS tastes "cleaner" and doesn't have that "metallic" taste they get from Kanthal. Other people say just the opposite, that Kanthal is the clean-tasting one, and that it's SS that tastes metallic to them. I guess you'll just have to try both, and judge for yourself.
Now, if we leave the realm of regulated wattage and start talking about variable-voltage devices, the differences become more apparent. SS has lower resistance than kanthal. So now we have two coils with identical dimensions, but with different resistances, the one with lower resistance (SS) will achieve higher wattage at the same volt settings. So on a VV device, you would need to turn the volts down on a SS coil to get the same vape as you would at higher volts on a Kanthal coil. With an unregulated or mechanical device, you're not even able to "turn down" the volts, so you will just get more watts out of the SS coil than you would from Kanthal, period.