Wiki shows a Lefima logo which it says dates to approx 1930. The attachment name is "Lefima_logo_1930_1948":
You don't have permission to view attachments.
Same logo on a selection of snare drums from the 1950s:
You don't have permission to view attachments.
The page goes on to say that a
new logo came into being in 1961/2 after Lefima had fled the DDR and that this logo is still in use today ("
Das heutige Lefima-Logo entstand"). Logically then, the logo on the drum up for sale can't be earlier than 1961/2. Clearly, the wiki info is not footnoted but it is a strong indication and if we can confirm it through old catalogues etc then this will be all that is needed to sink any notion that drums with this type of logo are from the HJ period.
An example of the later logo on a brand-new bass drum:
You don't have permission to view attachments.
...and on the drum on sale as "HJ":
You don't have permission to view attachments.
EDIT:
I knocked up a quick chronology of the Lefima trademark. This doesn't include the very early Leberecht Fischer plates as they pre-date the NSDAP period:
You don't have permission to view attachments.
Link to 1950s drumkit.
Link to 1965 drumkit.
This allows us, I think, to say that the drum on sale as "HJ" is definitely post-war.