IMO, as a previous long time owner / fanboy of the Lyr:
The Lyr is awesome for delivering power but is pretty "sucky" when it comes to things like detail retrieval, seperation, transparency, clarity. Upgrading the tubes does help, (a lot), but in the end the details sound smeared to me and a lot of micro-detail is lost overall. Schiit will probably overhaul the thing with the Lyr 2 and make it sound better like the Vali.
So in terms of technicality I bet it's not any better than the the C5. The C5, built from op-amp topology will offer a more cleaner, linear, and better measuring sound. The discrete Schiit design will offer more a grainy/organic feel though. I think the Asgard 2 is probably a much better amp overall if you don't need anything more than 1 Watt, and will probably be the better amp for the HE-400i, if not the 560 too.
The Emotiva isn't a technical giant either. I can't think of any other reason why it should sound so awesome with the HE-500 and LCD-2 other than power. I might be missing something, but it's likely that big ass torodial transformer acting as a huge well for limitless current on tap, available for any kind for load/swings might help. (yes I realize transformers just pass current and not store them :rolleyes: )
As for the fixed load for planars. Yeah I think you might be right about that.
But no point in arguing guys. If you're curious, try out some powerful amps (plenty available now). It's not like 3 years ago when the Lyr was pretty much the only option, there are plenty of cheap 2W to 4W amps now, and speaker amps too.
I seriously hate this issue because I can't find a satisfying explanation, just guesses here and there.