Now that I can finally chime in:
While SQ and LH both have different things I liked, overall: SQ > LH
I like the LH top and am ok with the bottom (basically scrubs) but I love the SQ top and bottom. I like the slippers provided by both and while I do love the cologne in the SQ amenity kit, the look and feel of the Rimowa kit from LH is really cool and unique.