Funny that the site you link actually proves my point. You just have to look at the right unit (yes, heat capacity) and interpret it correctly.
Higher heat capacity doesn't mean it heats faster. The higher it is, the more energy the material needs to heat up.
SS also has a slightly higher density then Kanthal as well, so a SS coil is slightly heavier then a Kanthal coil of the same size. More mass needs more energy to heat up.
In a nutshell...Kanthal has the benefit of having both, a lower heat capacity and a lower density then SS.
Resitance doesn't matter here. For a direct comparison the only thing that makes sense is using the same Wattage on the same size
coils and only change the material.
Of course if you put it on a Mech with a constant 4 Volt output the SS heats faster, as you fire with double the power. Not a good comparison.