I have tried the DX7S alone with its headphone amp. My cans all are pretty low impedance, so the DX7S does give the bass a bit of a boost/warm up the sound (well, with the exception of my planar Sundara). So I tend to avoid using the DX7S amp outputs.
My main rig is DX7s balanced into MD THX 789. Sounds great, though almost indistinguishable from my DX3Pro, or my Topping D50 into JDS Atom. DX3Pro and Atom SE outputs are enough for all my cans while the balanced output on the 789 has more power than any of my cans need.
As much as it would be nice to have the THX 789 I'm starting to think that buy an amp with "balanced" headphone out is overkill for me. I came across this post on Reddit by someone who has the HD6XX like I do (https://old.reddit.com/r/headphones/comments/afonsy/balanced_confusion/). A few of the comments state that there is no distinguishable difference between balanced and SE headphone output. Even on SE my Aune X7S does seem overkill for my headphones as using either medium or high gain means I barely have to move the volume knob and it's too loud. I do notice a bit of difference in sound signature between balance and SE but I guess I have to decide if the difference justifies the cost of a headphone amp with an included "balance" output. I emailed Periapt about the loud microphonic noise I hear while using their XLR headphone cable and they said there is really nothing that can be done. So I basically wasted money on a cable I won't use due to the irritating microphonic noise. Pretty annoyed about that as the cable cost about $100 (Canadian) and it's not really a huge difference in how the music sounds. I had the Massdrop O2+SDAC but sold it in favour of the more expensive pairing of the SDAC and Aune X7S. Was it worth it? Honestly I'm not too sure any more.