I went to best buy to test the audio output and compare it to that of my OnePlus One (which at least when it was released was one of the best in terms of volume and clarity, although apparently it has some inaccurate levels reproduction for some frequencies on headphones. My guess is that it was designed like this on purpose). For the record, I think the OnePlus One sounds quite good: pretty loud and relatively clean.
The Note 7 display model is an Exynos processor. I confirmed this by downloading a couple of CPU usage apps (no play store access and CPU Z wouldn't install for some reason). The apps found that the processor has 8 cores.
I loaded a FLAC file from my collection which is kind of electronic with vocals. It is a very clean signal without weird distortions that often show up in this type of music. I also loaded an orchestral piece but I didn't have time to test it.
I listened using my Xiaomi Piston 3 in ear headphones. On my OPO, I usually listen at about 4/15 volume level. On the Note 7, I was at 9/15. This is pretty similar to the volume level of the S6 Edge+. It's probably good to note that Best Buy wasn't quiet but it wasn't that loud either.
I found nothing wrong with the Note 7 audio output. The volume was obviously lower, and there seemed to be less bass frequency rumble power in the kind of rolling drone sound in the Note 7's rendition. Remembering how it sounds out of my Dell XPS 12 skylake (which also outputs a Very clean signal, has good amplification, and good accuracy to my ears), the Note 7 sounded pretty similar.
Just for kicks I tried using the AdaptSound custom EQ thing. It uses a series of beeps to do a custom eq for each ear. According to my ENT, I have "A+" hearing, but wow I couldn't hear more than half the beeps. Maybe the best buy ambient noise was part of the problem. I could hear a kind of repeated tapping noise that seems to be used to indicate which ear should be hearing the beep.
After the AdaptSound adjustment, the volume was boosted and I was able to bring the headphone volume down to about 5/15! There was individual frequency EQ as well for each ear (both graphs looked similar but small differences revealed it actually calibrated for each ear separately). There was no distortion after AdaptSound was enabled.
So I know the Exynos model is good. Still have no idea about the Snapdragon one.
For what it's worth, it looks like what makes the OPO really good is the amp. Apparently the OPO uses a Yamaha audio chip.