Netatmo outside module died. Tried several different sets of new alkaline and fully charged nimhs with no success. Tried re-pairing and resetting the inside module to try and kick things. Tried umpteen Torx bits (super deep hole) to disassemble the module.
In a fit of desperation (and because I was already cleaning things with IPA), I cleaned the internal battery contacts.
MFW that was the problem.
(Bit poor for a weather-sealed module to be able to get dirt/corrosion on battery contacts though!)