I am deliberately avoiding this issue by using a direct attached USB drive to my Lumin. From a hypothetical perspective, I can easily imagine scenarios where an Ethernet cable can make a +/- difference to the sound. I suspect that what works in one system might not make any difference in another system.
I recall that there were a few reports from Lumin users about getting slightly better SQ from Ethernet than from USB drive. This makes sense to me because USB HDD itself causes EMI / RFI and introduces mechanical vibration. More importantly, USB HDD draws power and therefore strains the Lumin power supply and the power supply noise is increased. Power is of utmost importance to audio. Therefore, I'd encourage you to get a NAS (a fanless one if your music library is not too large) and install MinimServer, or purchase a L1, then use the setup I'd described in post #16.