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<?php
// Вариант с Рубриками
add_action( 'pre_handle_404', 'fix_fake_category_page' );

function fix_fake_category_page( $false ) {
    global $wp_query;

    if ( is_archive() && get_query_var('category_name') === '0' ) {
    // if ( is_archive() && ! term_exists( get_query_var( 'category_name' ) ) ) {
        $wp_query->set_404();
        status_header( 404 );
        nocache_headers();

        return 'stop';
    }

    return $false;
}

// Вариант с Записями
add_action( 'pre_handle_404', 'fix_fake_page' );

function fix_fake_page( $false ) {
    global $wp_query;

    if ( is_singular()
         && isset( $wp_query->query['page'] )
         && $wp_query->query['page'] === '0'
    ) {
        $wp_query->set_404();
        status_header( 404 );
        nocache_headers();

        return 'stop';
    }

    return $false;
}