For a known net resistance, as determined by wire gauge, wire length and parallel coil count - regardless of the diameter and individual coil wrap count - the coil "surface area" remains the same, as does the wattage required to produce a desired radiant coil temperature ("heat flux").
Where it does matter, is in the wick, and it's cross-sectional "exposure" to heat. Small ID coils rapidly heat through and through the wick, and if the heat flux is high enough, and/or draw is long enough... will vaporize juice all the way to the wick axial center line... within the lengthwise wick-in-coil.
Larger ID/shorter length coils may take a longer amount of time ("heat capacity") to vaporize the same volume of juice... that time may be counted in seconds, but it's still added time, so if you start your draw as soon as you hit the button... for a given time, you may not get the same vapor density/flavor as you would with a smaller ID coil. within the same time period.
Flip side... you may have a much greater likelihood of dry hits with a large ID coil. Again, a variable that includes your personal vaping habits.
Think in these terms... first, know that there is always an optimal build for any given available wattage, and an optimal wattage for almost any build.
The coil must physically fit the atomizer and align well for adequate capillary function... other than that, you need to provide a minimum wattage to support the resistance/coil gauge/number of coils in parallel... to obtain a desirable heat flux value as well as heat capacity value.
More information about heat flux and heat capacity can be found in my second sigline below... to be used with the Steam Engine coil modeling program.