I don't understand why a neutral amp has to be considered cold, analytical or sterile. If you have an "un netrual" amp you will never heard what your tracks really sound like. All amps have some kind of house sound. Some more than others of course. If there is no emotion in your music then a good amp will give you no emotion right back. If you have a very good recorded track with lots of emotion then a good amp should give that right back to you. Look at your main source of the music first - not the DAC but the recording.
I would call the Emotiva a tad bit north of neutral, It makes my headphones sound a bit bright. I would call my old B22 a tad bit south of neutral, it made my headphones sound a bit on the warm side. My F1J is the cleanest sounding amp I've heard (that I can afford) it's ruthlessly revealing without being bright or warm. Next would be the GS-X mk2. I had to find my reference for neutral so I had to look back to my recording and play the same tracks on all different amps to finds this out.