Let me place some SUBJECTIVE findings. I know there are a lot of variables accounting to this or that, but it may be of help to someone thinking of doing some experiments.
When I first got my Matrix M-Stage I didn't found it to pair very well with my K701, specially because there was no bass. My Millet Starving Student sounded like a better match, more dynamic, organic and relaxed sound, but its stock power cord was much warmer than Matrix one - I found this too late unfortunately, after selling my K701 and MHSS! The level of detail, soundstage, in many other areas Matrix was the clearly winner, but... synergy should not be undervalued.
After that I tried some opamps, LM4562, LME49860 and the stock OPA2134 all using 10dB setting, the one I tought was better at this time. Then I tried the class A biasing (3.3k) and found the LM4562 better, specially for dynamics and extension on both extremes. By the way, my LM4562 has resistors on opamp, and both OPA2134 and LME49860 were biased via resistors on the adapter. I tried right after those opamps the Earth HDAM from Audio-GD and found it had stronger bass, better mids and much more natural sound than any other OPA I tried before (but it has less soundstage too).
After some days, I don't know why, but I tried 20dB setting to see what happens and I found a rather different sound with these settings, the changes were very obvious with class A biased OPAs, much stronger bass and pronunced mids (something my DT880/600 needs) with Earth OPA. I changed my DIY power cords (tried a mix of 3 different connectors in 2 different cables and mixed the combinations between DAC and this AMP) and found again that an error in the combination was sufficient to destroy the sound of my system. Gold is the key word for me at this moment - lush beautiful natural 3D sound.
Today after reading some comments I tried again OPA Earth, LM4562(3.3k) and LME49860(3.3k on adapter). Both LM4562 and LME49860 sound similar, but LM49860 sounds a little fuller with less highs extension, decay and a little more congested mids. LM4562 still has wider soundstage, is faster, has more air between instruments too, sounds ligther and smoother in a good way, I have problems finding words for its differences. Earth still have the strongest bass, dynamics and details for my ears and is still my standard, at least for now.
By the way, soon I may be trying to add resistors directly to LME49860 to see if these differences maintain.