Today, I'm listening to the HD800S out of the Eddie Current Zana Deux Super, and I've never heard bass like out of ZDS OTL! In my experience, Sennys shine out of good tube amps (but there are rare gem solid-states like the Bryston BHA-1 for Sennys), and if anybody wants bass out of the HD800S, EC ZDS is it. It's crazy how an amp can bring out such level of bass qualities out of a headphone. It's the best I've heard of the HD800S.
ZDS is not a usual tube amp. It's fast, sharp, tactile, tight. It's great match for the HD800S. In my experience delta sigma work best with solid-state, but imaging can be a bit flat compared to good multi-bits. My issue with solid-state neutrality is that, it can bring out the treble ugliness of the HD800 or S.
I think a lot of tube amps will not have the same qualities as Eddie Current tube amps. Bass can be looser, less quantity, and in general, not a tight response. Not as dynamic either. Eddie Current amps are tubes amp with technicalities.