Fully agreed.
Further, let's assume that you were an every-man (as we all are) and had the ability to type anything into a magical console that spat out private details about US citizens. That would be an "unreasonable search and seizure", so you wouldn't do it, right? It's logged! How many of your fellow citizens would not do that search? But the NSA doesn't just hire anyone, so you have to assume the folks aren't exactly like your fellow citizens and they know they're being logged. But is your guess "0"? I've seen people delete ("sudo rm -rf /some-important-dir") critical bits of infrastructure when they knew logs were in place, so my guess is most certainly not zero.
Note: I know some 3-letter-agency folks and they are very tight-lipped, so I don't want to suggest 3-letter-agency folks are not entirely trustworthy. But the NSA appears to have an incredible honey-pot and it't hard to imagine that no NSA analyst would have a taste.
Note^2: the NSA should have internal honey-pots to catch analysts browsing their (girl|boy)friends and such, but I'd not be surprised to hear that they don't...