You are correct in your thoughts regarding the balanced in driven by an unbalanced output. Balanced derives its noise rejection due to it using differential signals (+/-) which are 180 degrees out of phase with one another. IIRC, I don't believe the XLR input on the Stratos is truly balanced either (Klauss can clarify), but at any rate, with your goal being lowest noise over a long interconnect, since the signal is not balanced, you will not derive any advantage going to the XLR input.