I tried my best to explain this to someone earlier (different thread) I wish I had thought of using the examples as you did, nice 
Actually, at the same wattage, the higher resistance coils will pull fewer amps from the battery.
1.8Ω
8 Watts
3.79 Volts
2.10 Amps
2.1Ω
8 Watts
4.1 Volts
1.95 Amps
2.4Ω
8 Watts
4.38 Volts
1.83 Amps