Hi Malcom..!
Great question...! First - the HK contract, as you note - was for the "Luftwaffe". During the course of the war, that branch included: Air Units, Fallschirmj�¤ger (paratroopers), Field Divisions (that's a LONG story! But they initially were not associated with the Heer (Army) <img border="0" title="" alt="[Wink]" src="wink.gif" /> ), Herman G�¶ring Division, anti-aircraft units, communications, security and engineering. It's my recollection that the Luftwaffe also had their own naval vessels (different then the Kriegsmarine (Navy)..
As for Krieghoff production, there are not any records that I've stumbled on that would conclude that HKs went to specific Luftwaffe units as priority over others - but based on Luftwaffe staffing during peak HK production years, it may be reasonible to conclude that that most were sent to: Fallschirmj�¤ger, Air/support units and anti-aircraft units - as those, I believe, had the greatest enrollments during that period...
Best to you,
John