Sorry, I’m not explaining myself very well at all I think.
In the plugin, you have a templates folder with 2 files – a-z-listing.php and a-z-listing-multi-column.example.php. The a-z-listing.php file seems to indicate that if a theme requires a different layout to copy the file into the theme directory and adjust to suit the theme. I’m assuming that’s the same case with the a-z-listing-multi-column.example.php file.
So, I don’t want to execute the_a_z_listing() directly or execute the shortcode. I need the template in my theme to use the multi-column layout with a few other minor HTML customization.
Given that, I’m really not seeing a way to exclude a set of posts via the method you’ve described above. Is that the case? Is the only way to exclude a set of posts by using the_a_z_listing() or shortcode method?