To me, that is the definition of detail. It's being able to pick up room tone, or any acoustical reflections or natural reverb picked up by the mics. In addition to stuff like accurately rendered rapidly repeating drum hits or fast moving bass lines. Though I'll be totally honest, the only headphone I think could probably top the Elex is a pair of Mr Speakers closed-back planars, like the AFC or Ether CX. That you might recommend them so highly has not done a thing to lessen my GAS. Haha.
I've been doing a lot of listening to my DAP through my IEM recently, so I haven't had my R2R-1 on as much. It's always surprising how easily the Elex picks up on the DAC's thinner sound when first turned on, and how much more "right" it sounds after warming up. I just left the DAC on for a few hours and ran through a bunch of not-particularly-warm-recordings like The Clash's London Calling, The Smiths self-titled debut, or Tom Petty's Into the Great Wide Open, (or even a rando 128 kbps mp3 of "Party All the Time", with all those nasty compression artifacts,) and all sound pretty darn smooth. There's a hint of metallic sheen in the cymbals or guitar string scrapes (which are both made of metal, so duh) but its not bright, or harsh, and doesn't detract from my enjoyment at all. However, when it's first switched on, the sound coming from the Elex is... not that, and not that good.