JimB1,
What your referring to is called Power Factory (PF), the relation ship between real power and apparent power.
What your thinking about is phase angle , that is effected by the major character of the circuit, inductive, resistive, or capacitive.
(and the light bulb goes through more changes in it's characteristics due to the heat, different cold than when hot at it's rated working voltage. )
Unfortunately I don't have anything in my stock pile at home to measure PF or inductance directly.
Actually, during inductor designs we use to calculate the " reactance " , of the inductor... . the inductive (or capacitive) resistance in an AC circuit.
So one can calculate the AC resistance of an inductor.
(and we had instruments that could measure it at predefined frequencies and levels)
For DC, it's just the resistance of the wire.
The greater the frequency of the AC , the greater the reactance becomes a character in the AC ckt, for our discussion.
I don't think there's much actual inductance in the coil of wire in our heater blocks. As well, there's no core either (such as gaped ferrite, powered iron or coolmu).
BUT, one of my watt meters measures apparent power and current.
Current is measured despite PF or phase angle (used for real power calculations-the power that causes heating).
The wattage measured by that watt meter is effected by the PF, it's called apparent power.
The different between the two is the PF in %.
The closer to unity the PF is, the closer the apparent power and real power are to each other.
On my watt meter, they are within watts of each other, leading me to believe the inductive properties of the heater aren't effecting PF at all and are within measurement error.
As stated earlier, from practical experience, I would hazard a guess, there is very little inductance in the heater coil that would have any major effects at 60hz.
Based on that and some reality based intuition to how much resistance is in each connection in my circuit, if I measure the resistance of my total circuit, I'll bet I'll come up real close to the 20ohms. Next time I'm in the basement, and hopefully remember, I'll give it a test.