I’ve owned both. Unlike most, there was something about the DS that just doesn’t work for my ears. I upgraded twice, and both times sold the DS. Rebought a PWD the first time and then moved on to an Audio Mirror T3 SE that I find quite a bit superior to both. I've also had a Shiit Bifrost 2, Matrix X sabre pro, iFi iDSD pro, Holo Audio May, & Lampizator Amber 3 in my system for auditions.
Obviously I’m the odd man out on the Directstream impression, so YMMV. They are completely different DACs though and if there’s a house sound it’s because of power supply and input boards.