I got it to work by copying content-download-button.php to content-download-simple-button.php and removing the codes for count and file size as follows:
<?php
/**
* Download button
*/
if ( ! defined( ‘ABSPATH’ ) ) {
exit;
} // Exit if accessed directly
/** @var DLM_Download $dlm_download */
?>
<p>the_download_link(); ?>” rel=”nofollow”>
<?php printf( __( ‘Download “%s”’, ‘download-monitor’ ), $dlm_download->get_title() ); ?>
</p>
The pages contain the following shortcode:
[download id=”1302″ template=”simple-button”]