Mike,
No DSD. I ordered this unit a year ago and had not, at the time, really even heard of the Lumin. Avatar nicely lent me their demo unit while I waited. A one or two month delay for the SE turned into almost a year. It is very easy to A/B the units since I'm driving the 777 with the Lumin's BNC digital out. (And controlling both with the Lumin app... Like an Aries.) It's as easy as just flipping the inputs on my pre.
What really impressed me early on with the Lumin is that I could not tell the difference between the S1 and the original 777. I felt it would be good, but not the AMR's equal. The AMR was the best PCM player I had heard at the time. For that virtue alone, I knew the Lumin S1 was a keeper. The new 777SE only has an hour on it and I can't say it's better yet at PCM, but I think it has potential to have a little more body and maybe more air around instruments in the higher frequencies. It does have that special something now that I can't quite put my finger on.
The Lumin is staying for sure... I love everything about it. World class sound, simplicity, and it's stable operating system. I love the NAS approach. The Pixel Magic guys have their act together!
The AMR has a reputation of needing many hours to get the best out of it. As I just mentioned, It's as good at CD ripped PCM files as the Lumin fresh out of the box. I've not spent any time yet time listening to higher rez files for comparison. The AMR also has digital inputs for a transport if needed that the Lumin does not offer. I purchased a Black Cat BNC cable to connect the Lumin to the AMR.
I'd HIGHLY recommend the AMR for an under $10k dac. But many feel that way. AMR supposedly plans a DSD upgrade for the 777 at some time and based on their success with iFI, I'd bet it's good.