We both have the 727, you have the Gryphon Solo's, me the Mephisto, we both have the 360, I also run Balanced to the Mephisto. I tried doing exactly as you suggested, Cardas Clear Beyond XLR, and RCA Both 1 meter. I also have 1 meter Clear Beyond XLR between the 360 and Solution 727. I always prefer Balanced on the H/360. What I didn't do with this exercise in Single Ended is keep the right bank open.I also run my 727 preamp to Gyphon Mephisto monoblocks balanced w XLR. But in my case, I have no choice as the Mephistos only have a balanced input, no RCA. I'd like to do the same experiment, but cannot. Also, since this is SS gear, I think the difference, if there is one, may not be as easy to distinguish. But for a 1 m run between the H360 and the 727, it was an easy experiment to do and the results were easy to hear. It's all good if it makes you smile.
One caveat; You should not have both SE and XLR coming out of the 360 (outputs) at the same time. I thought the same. Apparently they are NOT independent of each other...