It's a reflex among most pilots. However, I suspect the FAA isn't going to care a whole lot about this one under the circumstances. They will probably send someone out to look at the wreckage eventually (if it's still there when they get around to it.) Right now, the FAA is busy signing waivers for area operations, re-establishing air traffic control, and helping out in any way they can.
I find it quite amazing how understanding the three-letter-agencies have become in the wake of this.
Two kinds of people, one rolls up their sleeves and gets to work, the others cry about what cannot be undone.