wordpress posts template remove default template from menu

If you want to change only the text you can hook into default_page_template_title

add_filter('default_page_template_title', 'bt_change_default_page_template_title', 10, 2);
function bt_change_default_page_template_title ($text, $meta) {
    if ($meta === 'meta-box') return 'My custom template';

    return $text;
}

Add this code into functions.php and thats it.
Tested on a clean wordpress install, this will only change the text and nothing else, functionality will remain the same.

Update

To get this filter to work with ACF we need to make a few changes.

  1. ACF doesn’t pass a second argument when using the filter so we need to assing a default value to our second parameter
  2. Update our condition to take that new, empty, parameter into account
add_filter('default_page_template_title', 'bt_change_default_page_template_title', 10, 2);
function bt_change_default_page_template_title ($text, $meta="") {
    if ($meta === 'meta-box' || empty($meta)) return 'My custom templatee';

    return $text;
}

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