Bomber – not to single your comment out, but there is no connection between resistance and power in the context of a regulated device. I currently have in front of me 2 atomizers, one at 0.13 ohms and the other at 0.53 ohm. Which is set at the higher power? Removing any variances between airflow and juice saturation I could even tell you how much power is needed to raise each of these coils temperature by a given amount and offer an accurate time frame (ramp up)
Another way to view this is, say you have a Kanthal coil (can be any metal) of 24awg, 7 wraps around a 3mm ID. What does removing a wrap do to the overall resistance and mass of the coil and how is that effected by power?
On the flip side we also have coils running in Parallel which physically doubles the mass and electrically halves the resistance. This would require more power. But same coils in a series config would also double the mass but double the resistance. Again requiring the same additional power. Clapton type coils are essentially a Parallel circuit.