Well it seems that this is/was already a) federal property (a military base) , and b) already an obvious historically sensitive spot at that. So to be honest, there probably didn't need to be any particular new rule imposed, as it was probably already covered under ARPA, for instance. And same for the battle-field looter alluded to at the end of the clip: I mean, yeah, night-sneaking historic monuments, what did he expect?
This story would have no impact on city and county level things. Because sure, if you ask enough federal archies (heck, they even had an office right there on base, you can see in the video), of COURSE they're going to make a stink, talk dire things, etc.... What did you expect an archie to say for the camera, when you ask him or her: "do you allow detectors here?" or "does detecting hurt anything?"