I hadn't realized that the Sonic Holography is set up to do what the Polk SDA speakers do. The Polks actually use separate sets of speakers to generate signals to cancel the cross-talk, also called phantom channels. Essentially 4signals are sent to the human listener by stereo loudspeakers, each ear gets its appropriate left or and right channel signal but also then gets a delayed right and left signal respectively, essentially 4 channels of sound from a 2-channel signal. It amazes me that so few persons, even with a keen interest in sound reproduction, are aware of the essentially artifactual nature of stereo speaker reproduction.
I wouldn't expect such processing to work with headphones, since the cancellation signals would have nothing to cancel and would in effect constitute distortion.
I have never heard the Carver set-up but the Polk system is quite effective. However it has been some years since these were made, for various reasons including cost, since each speaker is essentially a double speaker. You can still find them on Ebay but they seem to hold their value well. Also more commercial interest has shifted to video surround sound, although the Polks work fine with such systems.
Headphones of course do not generate phantom channels since the appropriate signals go exclusively to the appropriate ear and that is at least part of the reason for the ability of even cheap phones to sound so good. Certainly they have no ambience from the listening room, however, they are able to better present the ambient sound in the recording, which is what you really want.