Wordpress: Custom Taxonomy Count all posts

I remembered some strange behaviour, using two custom taxonomies for my custom post type. The posts count in the taxonomy administration page was wrong since I created it. The codex explains why that happens [1]:
[...] the built-in _update_post_term_count() function will be used to count only published posts associated with that term, otherwise _update_generic_term_count() will be used instead, that does no such checking. [...]

So using the alternative built in counting methods works fine.
$args = array(
'hierarchical' => false,
'labels' => $labels,
'show_ui' => true,
'public'       => false,
'show_admin_column' => true,
'query_var' => true,
'rewrite' => array( 'slug' => 'my_tax' ),
'update_count_callback' => '_update_generic_term_count',
register_taxonomy( 'icprop', 'entries', $args );

[1] http://codex.wordpress.org/Function_Reference/register_taxonomy