You have it backwards. When using SS wire, compared to Kanthal of the same gauge... reducing resistance will decrease the "heat capacity" (heat up and cool down times) values, while increasing resistance will increase the time required for heat up/cool down.
Other points of interest...
To obtain the same resistance of Kanthal - gauge for gauge - you will use about twice as much wire with SS.
What that means is - aside from the reason for the change in ramp speeds mentioned above - SS, for a given resistance and gauge, will provide nearly twice as much functional surface area as Kanthal. This can be a negative if you have limited coil fitment space.
Another way to look at it... for a given resistance, 26 gauge Kanthal resistance per mm is near equal to 30 gauge SS. There are parities similar to this through all common gauge comparisons.
One last comparable... with a similar gauge, coil ID and wrap count (+/-) SS will provide a resistance approximately 1/2 of Kanthal.