Hard to find anything that beats Eddie Current for ss imo. Haven't heard it on the Asgard 3 or Jot, but didn't like it at all out of some of my fave ss amps, like Rag 1, Bha-1, or MJ 1. Special synergy with special tube amps for this particular headphone ime.
Also, the Eximus ss size isn't a strong point, but is still easily the best I've heard in terms of solid state amplification for the ATs.
BHA-1 works best on BAL and almost all wingAudio technicas are SE with non detachable cable, to test them that it needs a mod.
I think it could probably sound better on QuickSilver and Soloist 3XP.
The soloist gives them extremely good separation, Air to the instruments, and that does not happen with all headphones when using the Soloist.
But basically all the AD line gets a very nice synergy there.
Versus the eddie I have no idea, the Soloist is about transparency, detail, clarity, the eddie could be warmer, a very different sound, but I have no idea lol,
Also like you said the opinion could vary from person from person, I find Asgard and ad2000 too warm, but there is at least 3 guys that find AD2000X a to have a very very good synergy with the Soloist 3XP.
But to my surprise it happens with all the AD line, they only have the 2000x but I have almost all lol, even the ad900x gets a nice boost in detail and soundstage size with the soloist, it ends being amazing in some songs for costing less than 200usd xD.
And with that said, I did not found ad2000 synergies to massively vary from the other AD headphone line synergies , asgard nerfed ALL the line in treble clarity and air( but improved them in a numerous things) note that the word "Air" in this case is more about treble extension.
Which makes me wonder more things lol, but maybe it is mostly about what amp is used instead that if it is tube or Solid state .