My dac has four ESS9039SPRO chips and it's not at all edgy. I absolutely hate bright, harsh, and edgy sounds. My tinnitus probably doesn't help. It replaced an r2r dac which are typically warmer and less bright.
One of the things that I like about my current setup is that recordings that I had written off as sibilant, etc no longer are. With my previous gear, I wouldn't play some of my favorite music because the sibilance or edgy sound drove me nuts. My system is very clear and detailed. I didn't get rid of the sibilance by rounding off the upper frequencies. That doesn't really work, anyway.