Another variation here:
Newly-minted *G here, through A3. Just bought GVA-FRA-GIG rtn on LH website. For some reason both outward flights were ticketed with LX flight codes (despite FRA-GIG being obviously operated by LH). All ticketed under 220- stock.
Would I get the free bag, considering it's an "LX" flight, but ticketed and operated by LH?
Bonus question: do travel companions on the same ticket get the baggage allowance (if any)?