While human brains are probably just scaled-up chimpanzee brains, individual primate neurons are significantly more sophisticated than other mammalian taxa, particularly with epigenetic changes: https://www.nature.com/articles/s41467-022-34800-w But also the plain structure of the dendrites and how they form connections: https://pubmed.ncbi.nlm.nih.gov/22230639/

Now: I don't think wetware computing is actually sophisticated enough to leverage primate-specific advantages. But 10,000 primate neurons would probably be "more powerful" than 10,000 pig neurons. (OTOH it seems like corvid neurons are even more powerful than primates, maybe we should use crows.)