Well, if you actually heard the difference yourself and came to that conclusion, then I have no reason to doubt you. I don't have the funds to compare with such high end gear, so I can only go off of what I've read here and my own experience with gear under the $1K price range.
Unfortunately, I can't help you much on the DAC side of things. I opted out of desktop DACs for a high end DAP, so that I can just output to an amp. When I was discussing your current set-up, I was mostly talking about your amp. But since I see you have a Modi 2 Uber, you could go Multi-bit. I would research how much of improvement that really is though.
An interesting option would be to get the Jotunheim DAC/AMP ($500), so you can have a bright amp to complement your warm amp (LC) and you can make use of the Balanced inputs/outputs. You would be running a full balanced set-up.