To be honest I wonder if the people in charge were starting to get a kick at waking up so many people, or if they were engaging in some sort of malicious compliance, e.g., maybe the people responsible for sending the alerts out are also pretty pissed off at being woken up to send them out. The stated reason for them existing leaves no room for there to be any reason to be sending these out at 3am, if neither the abductee nor the putative abductor were known to be nocturnal.