Nah, they’d fall squarely in the “mammal” category.
It would be more accurate to call this “vegan leather,” but that also includes crap like plastic, and fungi fit into the category of “flora” so… /shrug I also wonder if the plant material the fungi are grown upon doesn’t end up contributing some cellulose that’s part of the final structure. So it might be, in part, truly plant-based.
But we do call the white fluid that’s made from rice and almonds, etc. “milk” despite it not coming from a mammal.