Remove download links from checkout page for all downloads.
<?php
/*
 * Plugin Name: Easy Digital Downloads - Remove Download Links
 * Description: Remove download links from checkout page for all downloads.
 * Author: Easy Digital Downloads
 * Author URI: https://easydigitaldownloads.com/
 * Version: 1.0
 */

function sumobi_edd_receipt_show_download_files() {
	return false;
}
add_filter( 'edd_receipt_show_download_files', 'sumobi_edd_receipt_show_download_files' );
To implement this snippet on your site, create a brand new, empty WordPress plugin and paste the above code inside.