Webform civicrm Conditionals not working
webform conditionals is native to D7 webform module - and independent of webform civicrm module.

If conditionals for D7 webform module are not working as expected you may have some javascript issues on your site. Look in the browser's console to check for errors. 

If your test system is using a different front end theme and if admins with permissions are able to use admin theme - then it's very likely that your javascript issues are inadvertently caused by your front end theme. Perhaps it requires jquery update module e.g.?