There have been several reports of issues that have mostly been fixed with firmware updates so I think yours is the first report of a defective unit. Please keep us up to date.
I was on "LA-QXD1 Maximum Volume with Hardware Control DFU_V410" switched to "LA-QXD1 Minimum Volume DFU_V401", then I switched to an older version that I had on my PC "LA-QXD1 Minimum Volume DFU_V400" then back to V410. Besides volume nothing changed in any of those firmware, still just static in the left channel and noise in the right.