Just out of curiosity I've had a look at Lufthansa's baggage allowances; unless you're flying Economy Light within Europe the fare includes the first bag up to 23kg, so LH is no different to any other so-called Legacy Carrier.
My wife has never mastered the art of travelling light, so for anything over a few days away she insists on taking two suitcases. Over the last few years she's paid for a second bag on United, Delta & Lufthansa - she says they all charge a similar price. She also commented that LH didn't allow extra bags to be included in the booking - the earliest it could be done was at on-line check-in.
This year she avoided the extra bag cost on Virgin Atlantic by booking Premium Economy - no charge for choosing seats either! An expensive way of saving a few quid, though . . .
The plural of "anecdote" is not "data".