Does anyone know the precise rules of reciprocal access to the OW Lounges.

I recently flew from HGK to BKK on TG, connecting on QF from BKK to SYD in F, and wanted to use the Wing, on the grounds that I flew on the same day with a OW carrier, and had the emerald level with IB. CX refused access, claiming that it has to be on the same day with an OW carrier from the airport where the lounge is used. True or false?

Thanks