How to set “manage categories” capabilities on a post type taxonomy but not on the general categories?
you can just define your own capabilities to use this taxonomie ‘manage_terms’ => ‘manage_terms_TAXONOMIE_NAME’, ‘edit_terms’ => ‘edit_terms_TAXONOMIE_NAME’, ‘delete_terms’ => ‘delete_terms_TAXONOMIE_NAME’, ‘assign_terms’ => ‘assign_terms_TAXONOMIE_NAME’, and after you choose wich capabilities you give to your users