Ah, OK. I've only heard Purk's BHSE with the Phillips Holland xf4/xf5. They're very good tubes, but not magical like the metal base possibly are. From other systems I know that kind of musical "magic" that the right tube can do, but it's very rare and hard to get -- most tubes (especially when you get into combining multiple tube types) just aren't that good. In my speaker setup I get a little bit of "magic" with the chrome-plate Mazda 12ax7 when combined with black-plate Sylvania 12BH7 -- nothing else does it like that, and I've tried A LOT.
The Carbon does not sound like a tube amp. It sounds like state-of-the-art solid state amp; it just does everything better than even the best KGSShv. If you've found magic with the metal base tubes in BHSE, you won't find that same brand of magic in the Carbon. The Carbon will still do at least a couple things better (e.g. the bass is so fast and clean and hard-hitting) -- but it will not be that kind of tube magic. By that I mean the truly holographic 3D imaging tricks (which might well be very lucky distortion products) and the absolutely liquid/organic mids, and perfectly sparkly treble (without sounding bright or strident). With the right bass to anchor it.
I actually find the Carbon to be better integrated than the BHSE i heard -- in relation to the bass/midrange/treble, how they relate/transition to each other, no one segment pulling undue attention to itself.