Sorry gang, I tried.

I'll try getting the number again (I was thinking maybe I missed a digit?) on Monday, when I call LH AGAIN in DE; the agent I spoke with this a.m. had a natural incuriosity, a natural defensiveness about his own limitations and stupidity, and no desire to be helpful other than telling me that the itinerary I wanted wasn't showing as available on his screen.

So, I'll continue trying to fight the good fight, and that includes finding a workable LX 1st phone number in CH (assuming such a thing exists).