I didn't know the LME49710 sounds different from the LT4562. Everybody reports it's the same, just single/dual difference.
OPA2604 is my favourite FET input op amp, and I cannot use a bipolar one there due to high input currents. It's I/V stage in my CDP. If I don't have to - I don't use OPA2604 neither any other FET input op amp. And it's not great alone but paired with another one, i.e. AD8022 - sounds good.
Regarding emotions - I don't think we call different things with this word, it's more probable we obtain different results due to different applications. I mostly tried the op amps in my CDP and preamp/headphone amp circuits. If the results repeat which I mean same sonic impact, then I think I know what the certain op amp sounds like.
If you haven't tried the AD8599 - please do and compare it to the LT1364. What I like more about the AD is cleaner, more delicate trebles, while preserving overall warm presentation. Imaging is slightly better as well.