I have seen a few Luftwaffe Soldbuch entries where it is entered as as "Nahkampfspange der LW".
Here is a similar Soldbuch entry but this time for (entry #6) "Panzerkampfabzeichen der LW" as well as a pic of the same vets awards (FJ?) that he currently has in his possesion.
I cannot comment either way on the authenticity of any of these pictured awards but you will notice that the CCC is of the LW variety.
(I got these 2 pics from a website but cannot remember which one - my sincere apologies if this is not okay and I will remove them if required. Does anybody know anthing more about them?)