Close comments for new autodrafts

gistfile1.php

<?php

/**
 * Set default comment status to closed for woocommerce products.
 */
add_filter( 'wp_insert_post_data', function( $data, $postarr ) {

	// Auto draft is the status given to the initial post created 
	// when visiting the 'add new product' page in the WP-Admin.
	// This still allows posts to be created programatically with comments open. 
	// This will default to the value of `default_comment_status`
	if ( 'product' === $data['post_type'] && 'auto-draft' === $data['post_status'] ) {
		$data['comment_status'] = 'closed';
		$data['ping_status']    = 'closed';
	}

	return $data;

}, 10, 2 );