Looking at the ME-1 user guide, it recommends using headphones with 16-600 Ohm impedance. At 64 Ohms, the HD280s are well within this range. I tried a pair of this exact model with my ME-1, and anything over around half volume was far too loud to have them on my head.
The ME-1 uses a stereo class-A amplifier implemented using discrete transistors. I was not involved with Qu-SB, but it appears to use two parallel NE5532 op-amps per channel.
I’m not sure what else to suggest. Do you have a second ME-1 to try? Perhaps you could compare the ME-1 and Qu-SB using some pre-recorded music?
Cheers
– Jeff, A&H