Absolutely. I'm not one to normally fall victim to the mindless "think of the children", but Amber Alerts are rare and specific enough that they seem perfectly useful and legitimate usage of this tech. (I find most of the rest of the tech between useless and invasive, but flagging Amber Alert tags I'd support.)
Amber Alerts for my area come to my cell phone and I can't recall getting more than one per year. Looking up stats for 2014, they ranged from 9-21 per month (nationwide). I'm pretty comfortable that surveillance over-reaches will be a long time coming to Amber Alerts (if ever).
In my area, until I turned them off, I received at least 2 alerts per week and the vast majority of these were domestic-related (as in, one true parent of the child had the child when they were not legally allotted to - and the other parent reported it).
From my observation Amber Alerts have always been domestic squabbles. Before I turned them off on every device in the house, I don't recall a one that wasn't a divorce dispute. In other words, not a one was a reason to make every phone in the office make noise. In other other words, we collectively found out that all of these "abductions" wouldn't fit within the definition that most of us use for the word.