It's not a publicity stunt. This Attorney General made a similar request to other companies that have released wearable technologies that store user data, such as Google. Apple is not the first. You'd probably know that if you actually read the press release.
The Attorney General has a responsibility to ensure that privacy laws are enforced in the State of Connecticut, particularly when medical data is part of the process, and this no doubt also involves the federal Food & Drug Administration due to them regulating wearable medical devices.
But forget about that. It's not about posing questions that could potentially uncover sloppy management of a person's medical data, it's obviously just about political fame.