In general, archaeologists these days, at least when digging on sensitive sites like indigenous sacred ground, will, at most, temporarily take away remains to study and then return them to where they were found.

As I said, this is in general. But archaeology involving digging is inherently destructive, which archaeologists are aware of, so they try to keep that sort of thing to a minimum and rely much more these days on non-invasive techniques like LIDAR.