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non-inductive resistors are used for dummy loads.I think this is worrying over trifles.
At least for guitar amps.
I suspect somebody measuring Hi-Fis, long ago, observed a small difference in THD at 20KHz with an extra inducty resistor, and started urging non-inductive, and the un-thinking masses followed.
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test readings of the two Arcol resistorsThank You for Hard Data. The difference one to another is puzzling?
Taking a worst-case: 666nH at 20KHz is another 0.083 Ohms total impedance. Yes, enough to nudge a THD meter up one digit. But notice that the nominal "8 Ohms" is already in-error by about the same amount: 0.08 on one, 0.05 on the other. About 1%.
We never know our audio numbers to 1%. Wall-voltage varies +/-5% or more. Device (tubes, transistors) vary +/-30% and even with tricks we rarely control result to 1%. And our AUDIO (the vital ingredient) varies by 1,000:1 or more (nominally 63,000:1 for "CD-quality audio").
And face a real world. Small speakers have 0.2mH coil inductance. Large speakers with no crossover filter (guitar speakers) may have over 1mH inductance. That is 200,000nH to 1,000,000nH!! (Check my work, these zeros are slippery.) Saying that 666nH in a dummy load is a problem is saying that any loudspeaker is a BIG problem.
There may be "worse" resistors out there.
But some thinking suggests that it is "hard" to "incidentally" get enough inductance to matter in a 8 Ohm resistor at 20KHz. If we want to cut-off a midrange speaker, we need a BIG yet compact coil of wire. A voice coil is smaller but has a massive magnetic core. A resistor winding would typically be spread-out to shed the heat, and no iron... less accidental inductance.
Another real-world issue: all your wires have inductance.
https://ampbooks.com/home/amplifier-calculators/wire-inductance/30 Feet (10m) of light speaker wire is 19uH or 19,000nH. Just 20 inches (50cm) makes 666nH. (Were those Wayne-Kerr numbers corrected for lead effects?) However this is for single wire. If you put two wires, out and back, together, some of this cancels. I'm not finding data for amp-size cable.
The stray inductance "can" matter and even at 60Hz power frequency, even in cable. My home power is nominal 240V 100A 60Hz. This is a very low 2.4 Ohm load, if I actually pulled 100A. I don't because the lights dim. The wire from the street is very long. I've worked the numbers. Just on pure resistance, my numbers are about 10% off. When I look-up the inductance of this type cable, it adds about another 10% impedance at 60Hz. The residual error is well within the accuracy of my length measurement and the cable-factory tolerance. (Wire gets bigger from start to end: the dies wear.)