It's been a while since I was in college, but I seem to recall from the archaeology classes that I took that the general rule of thumb is: "If you know who's buried in the grave, you don't get to dig it up." The thinking was that any identifiable grave will also have identifiable descendants who would object to their ancestors grave being desecrated.
Seemed like a sensible rule at the time, and it still seems sensible today. This isn't some monument, it's someones coffin. Unless they have an extremely pressing need to check something out in it, they should leave it alone. I'd hate to think that a thousand years from now some scientist will be sticking my skull in a box because my grave goods happened to interest him.
The other rule I learned in that class, by the way, was "Treat every grave like it's your fathers", so I'm fully aware that the object here isn't simply desecration.