I'm not entirely sure which speakers those are, but why wouldn't they be phase/time coherent? Also, there's two camps on phase/time coherence, just like with cables. I myself have yet to see any scientific experiments that indicate phase/time coherence, within the tolerances we'd find in well made speakers, makes an audible difference. Plus, it looks like the tweeters are offset from the midrange and bass drivers anyway, which would imply some sort of effort towards phase/time coherence.
And I don't know why you'd expect vinyl to create snaps, crackles, and pops. ??? If he's taking care of his records and using a well made cartridge on a very stable transport I don't think any of those mechanical artifacts would show up. Purple power cables look fine to me too, since the only danger would be from someone stepping on them, and I don't think anyone's going to do that without getting shot.
The braided lines may actually make their electromagnetic field less of an issue as well, although that'd just be a guess as to what sort of marketing they're sold under.
Anyway, as far as I can tell it's an excellent no-compromise setup although I do think there's a fair amount of snake oil in there.