Hello,
1. First, at the moment, I see that the Wishlist is not working at all because in the database you do not have an appropriate table. Add the code below 1 time to the functions.php file in your child theme, then resave Theme Settings, remove that code and recheck the issue.
add_action('init', function (){
delete_option('wd_wishlist_installed');
});
2. To enable the “counter” functionality for the icon, edit the Wishlist element in the header builder and turn off this https://monosnap.com/file/pX5qsRDZzj7BujuLyYfmUigSs4fqvD option.
Kind Regards