Enable Authors in Multiple Custom Post Types

I would build a loop to pass all my cpt’s into like so

function add_cpt_author_support( ) {

    $post_types = array('detox', 'recipes', 'movements', 'lifestyle');

    foreach ($post_types as $type) {
        add_post_type_support($type, 'author');
    }
}
add_action( 'init', 'add_cpt_author_support' );

One other thought though, why aren’t you just declaring support for authors when you register your custom post types?