The basic structures are probably safe (until the next time Vesuvius buries everything, which is a much greater risk anyway), but the fresco paintings found in a good many houses will vanish with time, just as the much more fragile Mona Lisa will crumble into dust. It's more important to exhaustively document them before they vanish.
You both score excellent points. My synthesis:
1. Scientists first.
2. Documentarians second. (i.e., anything the scientists haven’t recorded or shown)
3. Preservationists third. Includes those who make a video or virtual reality tour of the site.
4. The public last. I just want the public included, not excluded.