Dre, I can't remember exactly, but the Q3 was in the big room (26 X 16 X 10) with all McIntosh gear, including turntable, stereo amp and Synergistic Research cables. Full SR ART and HFT room treatments. The S5 was in a smaller room with Esoteric pre, Korean mono block amps MSRP $8K, and inexpensive DAC, highest/best SR cables, full ART and HFT treatment. The music was mostly amplified digital on servers, and a couple of LPs in each room. Kind of Blue and ACDC. Yes, I fully agree that all of this is room/system/music dependent.
I'm making a general comment on the sound of these two speakers as heard in a variety of systems and rooms over time. In each case, these are my general impressions only and I know they don't correspond with what others have heard. Both speakers are excellent. They have very little colorations, are very detailed and both have excellent bass. The tweeters are each much better than the one in my Mini2. The S5 is more visceral, the Q3, slightly more tonally balanced and natural, IMO. I've now heard each speaker three times in different settings. Some would argue that my impressions are of those systems only and not of the speakers specifically, and that would be fine.
I prefer comparing speakers directly in the same room and system with unamplified acoustic music, mostly jazz and classical with some complex and some very simple girl/guitar or cello/piano solos. Unfortunately, this is not always possible.