Okay, with 200 hours on the DAC cable and the Headstage Lyrix, both DACs improved a slight amount over time. My amps have all shown a bigger response to burn-in than the DAC, but while several amps didn't sound great right out of the box, the DACs didn't have flaws that need to be "burned out".
It was a real pain having to run two computers 24 hours a day for music x 8 more days. My wife thought I was nuts. When it was done, I did my listening to both on the Macbook.
Nothing dramatic, but the DACs did open up just a bit more, and are still better than analog. The improvement of the internal DAC of the Lyrix, when AB compaired, was almost the same as the External DAC running into the Lyrix. However, there was just a slight bit more improvement of the internal DAC over time than with the external DAC. This is really hard to test when having to unplug the external DAC at the same time as clicking on the sound control panel selection - but there certainly wasn't any change in volume level going back and forth to serve as a cue or to alter my perception.
The Lyrix amp section however has changed more. The Headstage Lyrix gets closer to the Headsix with more time on it, even when using analog input like the Headsix. From before, the bass (punchy and deep) and treble (smooth without grain) were very much the same; except for the more forward mids of the Headsix bringing you on stage, with the Lyrix placing you in the first row. The Lyrix is becoming a little warmer and closer in the mids, now taking you to the steps up the stage, and the sound is even more transparent now.
Asking the question, "how big is the gap between analog input and DAC input now that they have burned in", I also tested the analog input of the Lyrix - listening for these changes in mids and soundstage placement. The gap is still there and the DACs still sound better than the analog input. But, the analog input sound quality has also improved as well, so I suspect the mids and more forward soundstage changes are in the amp.
The Headsix also has 200+ hours, and it hasn't made a lot of changes either - which it didn't need anyways. It has mainly opened up in the airyness of the soundstage a tiny bit more, and just maybe the bass has a little more impact. The bass is still tight and quick highs are still very smooth without grainyness, and the mids are still forward and rich.
I neglected to test the Headsix with the burned-in DAC cable, because I didn't recognize my flawed logic above. I have insomnia tonight and cant sleep, but I can't test this right now - everyone is asleep and I left my Headsix in my gadget bag in the car. I need to go to bed