I got to hear the same transformer (foil secondary output transformer) on Finemet and our "standard" nickel core, with copper wire/silver coated foil, copper wire/pure silver foil, and silver primary/pure silver foil secondary.
These were wound on special large cores we got directly from Hitachi Japan. Amps were SE 300B with a low distortion current feedback driver stage.
I must say that the Finemet cores were a little too much on the soft side for me. They have an amazing rich quality through the lower mids and somehow sound very dense and solid yet open with tons of low level detail, but left me wanting a bit more cut and snap. This was especially true of the all silver version. I thought the copper primary/silver foil unit was the best compromise.
i was in the minority though. Most people in the room liked the full-on silver Finemet version, but I was probably the only blues harp player in the crowd.
I spent a week + hanging with Slagle and his partner in crime Jeffrey Jackson at the DC show and ETF in Denmark and discussed cores to some degree. They seemed to agree with each other that nickel still rules for low level work but the nano/Finemet stuff comes into its own for output "iron." More like output "glass" really...
I think Dave can wind slagleformers on nano if somebody insists, but I think he would recommend nickel.
Finemet really is amazing stuff by the spec sheet. Saturation resistant, high perm. I'm thinking that it requires special care in implementation, though.
There are also many grades and sources for what is being passed off as Finemet. Some Finemet-ish cores are closer to "Metglas," which I think in general is less high perm and more saturation resistant, targeted for high efficiency power cores.