Yes and no. We do have agreements with dozens of airlines worldwide but most of the *A airlines are in the -ZL category (the cheapest one), whereas most non *A are in the -ZM or -ZH category, making travel on them more expensive. This is just a general rule though because I believe NZ is in the -ZH zone even though they are in *A.
Additionally, LH, LX, and I believe CO are the only ones to have an official policy/fare structure for ZED travel in business class if that is something you are interested in.