I have a Bognor Harlow that I think of that way. I don’t have it doing a lot, but it adds something ineffable to the sound, and I miss it when it’s not in my chain. I’ll definitely have a look at a video of this thing, it sounds intriguing at the least

I don't think it's a placebo effect. Buffers do a tangible thing. They set input impedance and increase the gain in a signal. Turning on a low or high pass filter does something tangible. Depending on how they're used/designed they'll cut frequencies, which gives the impression of emphasizing others. A charge pump changes the voltage in the circuit. I think this one gets bumped up to 15v (I could be wrong about that). Usually this gives the impression of headroom. If you've ever tried something like the Hudson broadcast, the charge pump in it is switchable from 9v to 27v - it's a huge change.

I probably should have mentioned that your original post calls this circuit magical and mysterious and I was partially responding to that. It's not. It looks over-engineered and I'm dubious that it does something that a different buffer or even an eq pedal couldn't do, but that's my own take. I don't think there's anything wrong with buying one. I have a ton of pedals. 80% of which are extremely redundant.