In order to generate 4.184 Watts of actual radiated heat you would need more than 4.184 joules of
actual power available to account for the power needed to keep the current in motion and other losses.
I think that because we are using coils that are so close together physically the apparent difference
is unnoticable for the most part. A higher resistance requires more voltage to maintain 50 Watts
of power consumption with less amperage to create the heat to make vapor. The inverse is true.
A smaller resistance requires less voltage to maintain 50 Watts consumption but at a higher amperage.If the wire gauge is the same this means more power per less surface area of the coil providing more available heat which generates vapor faster over the same period of time.
By using different gauge coils and builds this can be mitigated almost to the point of appearing
to get the same results. We only have to heat the juice hot enough to get the residual water content
to reach the transitional stages from liquid to gas in order to atomize the base into an aerosol.
This will happen between 184 degrees and 212 degrees F no mater how hot the coil gets. By using smaller gauge wire for low ohm builds and using higher gauge wire for larger ohm builds one can
get results so similar as to be for all intents and purposes to be the same.
Watts is a measurement of power needed for the circuit to do the work required of it.

Regards
Mike