It's a resistance test (calibrated at 1kHz) and one that at higher levels (heating up) does not change its values so is low distortion.
I agree with Amir, there is no single 'complex load' that would represent most speakers. Nor are there loads that will be equally 'hard' for all amps.
The advantage is that the measurements are comparable and do say something about performance in 2, 4 and 8 ohm. Higher usually isn't a problem, lower is more like a short circuit.
I would prefer to see clipping behavior than complex load behavior as that can be quite complex to do.
That said... the efforts shown here by
@pma are to show that amps that perform well with resistive loads may not fair well with certain complex loads.
I applaud that. It isn't representative for other speakers and how amps will react.
@pma also clearly mentions that every time.
It also showed that in certain cases the output devices of amps may have a hard time yet don't when loads are resistive. An indicator of why certain amps could die when having a party with loud music while the speaker and amp specs would indicate they should survive.