Most of the older style coils run about the same power, and the different resistances get that power at a different voltage, or a higher resistance coil would be used when less power flow is desired at the same voltage. You didn't say what this is though. For example, the Kanger single coil units use the same wire for 1.8 and 2.2 ohms, making the 2.2 one wrap larger, but the 2.5 ohm is thinner wire with the same number of wraps as the 2.2, bringing the surface area back down to the same or less as the 1.8 .
With mech mods, lower resistance causes more power to flow from a fixed voltage battery, so most assume lower resistance = higher power, although this is not necessarily true. With variable power, a slightly larger coil can be made with the same wire and more wire and wraps, in which case the higher resistance coil is suited to higher power.