Sorry but that depends on the headphone amp and speaker amp in question, it's not a gimme.
I have heard a number of typical amps from Rotal, Nad, Cambridge Audio, Yamaha, Marantz etc up to £600 and none have been better than my Master-6 driving the HE-6's.
I fully expect better speaker amps to be better with the HE6, if synergy is good, but to say that the HE-6's are going to sound better just because it's being used on a speaker amp is just wrong.
I had excellent luck with my Bryston BHA-1 and the HE-6. really blew away my former pairing with the Burson Soloist.
Dam, sounds quite excellent out of dual Questyle CMA800 balanced setup as well.
Edited by Carlsan - 4/15/14 at 4:57pm