Sorry if this response is not directly on point, since I only auditioned the Kharma 1.0 and not the 1.0 LE.
I bought the Eidolon over the Kharma 1.0, though it was a close call. In the end I had a decent deal on a demo Eidolon and so the choice was made for me.
I was unable to listen to both the Eidolon and the 1.0 side by side, or even with the same electronics on the same days in the same room. So it is difficult to really make a definitive relative judgment between the two.
However, there is no question the Kharma 1.0 sound great with tubes. I auditioned them with various Lamm amps and they were excellent. Of course they did not delve into the bottom like the Eidolon can, but IMO the midrange and treble were in the same league as the Eidolon, even if IMO the Kharma were not better in these areas.
I do not think you would be disappointed at all with the Kharma 1.0, let alone with the 1.0 LE.