Seems to me this comes down to whether equipment (utility or customer) is operating within spec or not. Not sure what UK utility specs are for power quality (IEC?), but under normal conditions I think it's reasonable to assume all their equipment is operating withing specs. Which I *assume* results in fairly clean voltage waveforms, though I'm not sure to what extent that's true. It seems fairly certain that a multimillion $$ synchronous generator used by the utility is putting out a very clean voltage. OTOH, if you're being supplied by a utility's portable diesel you can fit on a flatbed it might not be so clean, but still I'm sure Caterpillar makes sure they're within spec.
So then it comes down to whether the ugly waveforms are, although kinda ugly, still acceptable or is there something else going on? My tendency is to first assume the customer has some equipment operating that might distort the waveform.
So I think a useful exercise would be for someone to take their waveforms, do some analysis, and compare to their utility's specs for power quality and see if they're within spec. In the US I think most/all states have a Public Utilities Commission (PUC or PSC) that has rules that utilities need to follow under normal conditions for voltage magnitude, power quality, etc., and you can get them on their website.
Of course under abnormal conditions it can be anything.