The biggest issue is that Amber alerts are abused for both kidnappings and abductions. In a lot of jurisdictions, the term "abduction" is used for cases of domestic disputes e.g the divorced mom left the state with the kid when she wasn't supposed to etc.

I really disagree with Amber alerts being issued in cases where there's no immediate risk of harm to the child, and especially if the child is a teenager. They can damn well decide who they want to be with themselves. The type of stuff that's better off being handled in family courts with contempt of court orders shouldn't be aired out like dirty laundry and domestic disputes should not wake up the entire city. It sucks for the parties involved but there are much bigger fish to fry and actual kidnappings and human trafficking to worry about than to cry wolf across the mobile network every time kids get caught in the crosshairs of a bad relationship.

Next time when you get an Amber alert actually read and check up on the background story.