My experience is: When I can see availability on the ANA tool i always see it also online on the LH website (as SEN). But usually there is significantly more availability on LH.com
It seems that very far out (300 days or so) the availability on ANA and LH is similar, 30 days out there is far less on ANA and a few days out ANA shows similar availability again. Not sure if this was just a coincidence for the flights I checked.