That is a tough one. No one with anything to hide should care if they are being watched. But that kind of power would eventually get abused. The guy who runs the machine would want to see if his girlfriend is cheating on him, or listen to his wife's boss. This is very obviously "unreasonable". That is why the framers put a Judge between the people and the police, I guess.

I am much less of an issue over international emails and phone calls though.

I am very anxious to see if NYT is full of shit on this.