hmm well the answer is possibly.
door contacts and shocks don't sleep, Dt's don't sleep at default that is.
however the only device where this would be an issue is the hallway in a domestic, in that when you leave in a morning you come down stairs and exit.
The pir you have walked passed would have been triggered and therefore asleep, you set the alarm and its 45 seconds have gone, so approximately 2 minutes before that device could be activated again.
with a DT that wouldn't be the case as its on when the alarm is set and the door contact and shocks would be on from the start.
most alarm systems for wireless pirs have a kip after being activated but not all of them work the same way.
when you consider the door is opened and the entry timer started, so there would be no alarm until after that had expired anyway, the pir in that hallway wouldn't if caused an alarm but the entry time out would have before 3 minutes, if they walked in or broke in through a window into a room then pir wouldn't have been activated on the way out usually and would therefore alarm immediately.
if a burglar was spending the time hanging around, he would probably wait a few minutes to check that you didn't return first because you forgot your purse. depending ion your doors and windows, will probably determine how they decide to enter the property.
once in the timer is ticking for them to find the valuables and leave.
a lot to take into account.