Hi!
You are right. The Admin, Judicial, Air Traffic Control Officials, and etc did have triangles instead of eagle. In November of 1944; however, the Luftwaffe(and other branches of service) were having problems with meeting the manpower needs of the Officer Corps, so came up with a plan to help create more officers.
This plan involved augmenting physically qualified LW Beamte of certain specialties into the military as regular officers, instead of keeping them as non military officials. This created the TSD triad:
Judicial(JAG, Judges, and etc)- Wine red waffenfarbe
Admin(Pay and personnel, supply, and etc)- Light Blue waffenfarbe
Construction(civil engineers and etc)- Black waffenfarbe
As a part of this shift, they traded in their admin/officials insignia for the new military version.
Regards
Paul