Just be aware of the safety implications.
I am puzzled by this. Indeed, one would think risk increases of electrical shock if the case is not earthed.
I presume +V wrongly/accidentally shorted to earthed chassis immediately opens the internal power supply fuse and/or opens my home's circuit breaker, hence no more +V present at chassis to ruin one's day by fire and/or shock.
I was surprised to read Bruno's instructions that unearthed chassis meets electrical wiring code. I ignored his advice to not earth the chassis. I earthed chassis of all eight NC400 I built.
I presume Ncore would not contaminate other components in reasonable proximity, but I also suspect external sources could contaminate Ncore, and that earthed chassis minimizes contamination in both directions.
Possibly, Bruno clearly knows every potential current flow fault, and NC400 and all Hypex power supplies would instantly sense such fault (including +V to chassis) and immediately default to error mode, opening (stopping) the mains current flow. BTW, the protection I describe above may be lacking with non-Hypex power supply.
But this still does not address the potential of outside sources degrading and/or contaminating Ncore, and potential for earthed chassis to minimize such.
If unearthed chassis only improves audio performance with absolutely no increased risk of danger and no increased risk of contamination either direction, then there is every reason to follow Bruno's advice. To the same degree I suspect the first item is true I suspect the last two are not.