Templates are currently listed as a public post type. This means that they are visible on the front end of the site and could show up in automatic sitemap plugins (and similar).

I would like to suggest that public be changed to false.
https://github.com/andrew-worsfold/tailor/blob/e6e041390db34c3167b404e6f737e2e0fed5dac5/includes/class-templates.php#L92