In a wrapped coil like a clapton, fused clapton etc the core wires carry the current. The wrap doesn't affect resistance but it does affect wire mass and heat transfer. The core heats up first, then the wrap heats up off of the core(s). Not saying you're wrong or that it won't work but looking at what you mentioned, 24ga ss316 and 30g kanthal wrap? The response on that coil likely won't be the best. Awfully thick gauges of wire and will hold the heat longer as well when you let off the fire button. All subjective but in my experience wraps of 32-30ga or thicker (lower gauge) have poor performance compared to thinner gauges like 36-38ga and thinner wire (higher gauges).
The effect of the wrap is still there but the wire mass is far less so you end up with a coil that won't need as much power to get it going and will cool down quicker vs cooking the wicks and juice. Maybe even try a thinner core as well like 26ga instead of 24ga. The only way to overcome thicker gauges of wire (and higher wire mass, more metal) is to increase the power. The downside can be that once the thicker wires respond to that additional power, they start getting hotter and hotter. Again could be personal preference, I don't personally care for a hot vape. Nothing wrong if you do.