I know you can put custom page templates in the page-templates directory and WordPress will automatically detect them and make them selectable from a dropdown in the admin, but I would love to be able to further organize these in sub-directories…for example:

• page-templates
  • some-template.php (works fine)
  • another-template.php (works fine)
  • products (sub-dir)
    • product-specific-template.php (not detected by default)
    • product-specific-template2.php (not detected by default)

Is there a way to tell WordPress to automatically detect all templates within page-templates and any subdirectories within page-templates ?