I assume the question is what BA filters are like. I'd be curious to know what Mazda uses a "cartridge" filter? Afaik they all use a spin on/canister filter. But, thinking about it seems Mazda may call their branded spin on filters, cartridge filters. I don't agree with that, but I suppose they can call them what they want.
A couple spin on BA filters have been posted here, they were made in S Korea. Looked like a Prime Guard or Pronto OF with same coo. Using google images, looks like the BA true cartridge filters are made by several manufactures including but not limited to M&H. As noted, BA being a reboxer seems best description.
I'd likely look more at the original source brands for purchase.