As I noted elsewhere, the structure's not specific to parity/XOR but works on n-ary merge operations in general. It will impact the breadth and depth required

As I noted elsewhere, the structure's not specific to parity/XOR but works on n-ary merge operations in general. It will impact the breadth and depth required for the module; the {2, 2, 1} module structure required for XOR is not generally useful - but it's a substitutable component. A bigger problem is keeping your processor fed with the decaying layer size (you'll want to target a fixed wave size if you're running on a GPU, mostly empty waves are a bad thing), but you can get around that reasonably easily (at least for base-2).