Obviously, if the amplifier has
zero distortion, anything non-linear after it will increase the distortion dramatically over zero: "divide by zero error".
My point is that for a practical amplifier, with feedback that reduces its output impedance as seen at the output terminals to a very low value, a small variation of the temperature of the load resistor's instantaneous resistance during the signal period will have less than proportional effect on the harmonic content of the voltage across the resistance.
Besides the voltage-division effect of the low (but finite) output impedance and the low (but finite) variation in the load, there is also the thermal effect that the temperature excursions of the winding wire (or other element) thermally coupled to a heat sink (or even just the case and core) will be reduced by the thermal capacity of the materials.
Therefore, if the resistor is characterized at DC by, say, 100 ppm/K variation, that should typically induce much less than 100 ppm THD in a practical situation.
Two 12-inch (30 cm) AWG18 (roughly 1 mm diameter) wires from the amplifier to resistor is 13x10
-3
100 ppm of 8\$\Omega\$ = 0.8x10
-3
However, the voltage division ratio in this quantitative example is 8/8.013 = 1 - 1.6x10
-3The rest is left as an exercise for the reader.