I have turned them off for the rest of the site, but thought woocommerce would have their own breadcrumbs, separately.
WooCommerce does have it’s own breadcrumbs. Where did you turn them off? Is it a theme option? Is this theme integrated with WooCommerce? If so it’s likely the author is using their own breadcrumbs and not WooCommerce’ breadcrumbs for the WooCommerce pages. That’s what we do at WooThemes.