No, I speak German as a second language and I clearly know the difference between Lufthansa and Luftwaffe.
These flights were Luftwaffe (German Air Force) with a GAF prefix. The GAF VIP planes are Bombardiers which all have 14 in their serial numbers, e.g 14+01, 14+02 etc. with the + being the Halkenkreutz.
Ganz klar? Gut. You shouldn't argue with planefags, it won't end well.