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.
The sites are getting (or have recently had) a thorough mapping and inventory, and the older efforts coordinated with the new stuff. This has happened before. The cost of this stuff, and the lengths of careers, means that without grants and such, the job never quite gets done. That subsumes cats 1, 2, and 3. The money for basic policing and maintenance has to come from #4.