IMHO, no, its sound is not even close to be warm (but the amp itself is
).
Regarding cold and analytical, let me give you a few observations and you decide for yourself.
1. It is very accurate and has outstanding resolution, including low level details and especially at high frequencies.
2. It is also very transparent and airy in a way that brings a lot of tracks literally to life; you can almost feel it (and where other amps would feel like something is missing - yes, those very quiet, almost silent details).
My personal high level interpretation of "cold and analytical" is lifeless, boring sound. No, A2 is very far from that.
Also, if you like Q701, my guess is you might like A2. Funny thing is when I heard A2 first time, I thought it made my DT990/600 sound a bit like Q701 (which is almost like saying that apples when processed through A2 tasted like oranges).