In Aus, you must comply with all SID/STAR altitude restrictions unless the term "cancel SID/STAR" is used by ATC. Even if you are vectored off the SID/STAR a DME crossing restriction would still apply unless the "cancel" term is used. However, a waypoint restriction would not if you were vectored around it.
Often we will get vectors and then "track to ABCDE to resume the XYZ arrival" In which case the STAR waypoint restrictions again apply.
They may say something like "descend to FL140, cancel ABCDE altitude restriction" when they want you to continue with the SID/STAR but disregard that single restriction.
Hope this helps