You are most likely thinking of the Trilogy H1. According to internal photos and info, this is a all tube differential topology amplifier with no global feedback, using two 6C3pi single triode tubes and one 6H6pi dual triode output tube. Given that, the only possible topology is something like this:
TubeCAD has a similar circuit, which has been around since the 1980s, if not earlier.
Now, there is nothing wrong with that design, but it is the absolutely most minimal, cheap tube circuit design for driving stat headphones. I would liken it to the Dynaco Mk II, III, IV or Stereo 70 - that is, a simple but good budget circuit. In its day, the Stereo 70 cost about $140 assembled, which works out to around $1100 in today's money, and that is about what I would expect such a design to be worth. In fact, Schiit Audio at one point considered selling a similar design for less than $1000. Granted this doesn't include the cost of a remote control, but I doubt that the remote adds $4000 of value, and anyway, the notion that a headphone tied to an amp by an eight foot cord needs a remote seems rather silly to me.
Note that, looking at the internal photos, the Trilogy does not appear to have a regulated power supply, and it appears to use plate resistor output loads, so lacks any of the refinements of state of the art electrostatic amps designed since the 1990s. Given its technology, I would expect it to have about the same drive capability as any of Stax's tube output amps, which also use plate resistor loads, and lack the output drive capability of the Stax solid state amps, any of the Gilmore amps, or the SRX Plus.
In summary, the only thing state of the art about the Trilogy is its inflated price. IMHO, of course.