posts_status (draft & pending) for log user

ajax-load-more.php
starting at line 391

if($post_status != 'publish'){
      		// If not 'publish', confirm user has rights to view these old posts.
      		if (current_user_can( 'edit_theme_options' )){
         		$post_status = $post_status;
            } else {
               $post_status = 'publish';
            }
			$post_status = $post_status;
         }

Instead of checking if the user is an admin can we check instead if the user is the owner of the post ?

It’s important my users need to list their own posts when they are with the status pending or draft. (They can add post from the front office).

Can you use the alm_modify_query_args() filter?
https://connekthq.com/plugins/ajax-load-more/docs/filter-hooks/

I can try,
What you are doing on line 391 is done before the alm_modify_query_args() ?

yes