I'm not an engineer but I suspect that the Purifi is similar to the Benchmark....drive the distortion as low as possible...period, the end...and obviously a ton of people really prefer that sound.
Since very few designers talk at length about what their 2nd or 3rd harmonics strategy is...you don't know for sure what you are getting unless the amp has been tested or the designer will tell you.
I have a buddy who posts here pretty often...he has a Purifi amp and a few other amps as well. He says that the Purifi actually sounds fantastic...strong low end, really nice top end...good sound stage...BUT...he says that compared to his other amps, it is emotionally uninspiring which to him means that while it technically sounds good, it doesn't seem nearly as musical as his other amps that are know for actually having some 2nd and 3rd degree harmonics.
Is this real? Is this imagined? I don't know but since there is more and more being written now about something that Nelson Pass identified 20 years ago...maybe we will all learn more in the years to come?