Bingo! (or at least a partial Bingo!)
Located another Suhl consortium DSM with same organization marked on buttplate (I believe) with a bit more detail. This one has:
Fl. L. G. 7 Zg. 20
My notes have that identified as "Flieger Luft-Gau 7, Zeug (platoon)20, which certainly suggests an association to the DLV. Very many of the Suhl DSMs are marked for the DLV on the barrel. These guns may have had this property mark added because they did not have the DLV mark on the barrel, possibly? Anyway, hope that gives you some more information for researching it. I do not have a location for the unit in my notes.
Steve