Chris, intrigued as to how Naim really reached their conclusion; do you know?
A separate circuit is no doubt preferable, but much depends on perhaps locality (no heavy industry) and a relatively clean supply locally. IIUC a small(ish) number of domestic properties share a three phase, with only one going to each.
Historically mine has a three phase supply (long ago under floor heating existed [??] - isolated ) and two phases are in use, by coincidence in a long house, one phase does the kitchen appliances and the other includes a radial to two different music systems.
Old style Crabtree single sockets on a radial. I did all the wiring long ago and have the certificate.
What concerns me, is not the separate consumer unit, which is perhaps logical, rather the gauge of wiring. Any UK 13amp socket, single or double, is designed to accept two 2.5mm radial ring cables + subject to wiring spec restrictions, a spur. That totals 7.5mm.
If 10mm is used, a henley block is necessary in a daisy chain manner, to ensure each socket has the same cable size. If I was to do my dedicated circuit again today - read the original and now long forgotten, details two decades ago on the old forum and went for dedicated radial, without taking into account anything about cable size - so I would use 4mm radial to each 13amp socket, using quality unswitched sockets. I know one ex-sparky who was well aware of the quality of the old Crabtree sockets.
I rather wonder if the sparky who the op @GavinB has consulted, has used the question about two consumer units, rather than raise the issue of 10mm into a 13amp socket. After doing lots of electrical installations, 10mm into a socket is a tall order, which really requires rear entry and even then it is not easy.
I’m not disputing the sound gains, which may or not be noticeable - simply that asking a sparky to achieve the next to impossible cable wise will likely result in v mixed reactions.
Realistically or not - I could run as a test, three different cables size cables from 4mm/6mm/10mm without any great difficulty; save for the fact that it would be a physical challenge to create the same cable size to each and every one of ten sockets. For every installation, ymmv, here the result achieved, heard by two dealers and two staff (quirky issue - different story - great Naim service) suggest that the Naim active system I enjoy, performs stunning well with a small cable size radial circuit
There is perhaps is no definitive answer for the best solution - do the best (electrical) installation that the situation permits and enjoy the music.