The code you are looking for is in file components/com_customproperties/helpers/helper.php, function showTags.
As you certainly know Joomla can be tricky at times with menu items and modules assignment. Joomla basically expects module to be assigned to menu items, and this is not always doable or practical. Also, under some circumstances, the behavior is different with or without SEF.
A third party extension (Advanced Module Manager) proved useful in complicate cases.