Custom product status get filtered on all product list views

I registred a new product status with this code :

function register_custom_post_status(){
        register_post_status( 'invalid', array(
            'label'                     => __( 'Not valid', 'xx' ),
            'label_count'               => _n_noop( 'not valid <span class="count">(%s)</span>', 'Not valid <span class="count">(%s)</span>'),
            'public'                    => false,
            'exclude_from_search'       => true,
            'show_in_admin_all_list'    => true,
            'show_in_admin_status_list' => true
        ));
    }

When I set a product on this status ( $product->set_status(‘invalid’); ) the product all list table filter out my product and shows it only in his separate table list. But ‘show_in_admin_all_list’ is set to true, so why happen this? I’m confused.