And if left unchecked it leads to things like this [1], where a graduate student cut down a tree to count its age only to realize it was the oldest living tree in existence.
Your basis of argument that if the benefit of satisfying curiosity greatly outweighs the benefit of X, it should be undertaken is absolutely wrong. To cite along the same track so you call out on relevancy again: Digging out historical graveyards and examining the bodies has its merit especially to increase our knowledge about the time period, however in reality going around digging into sacred places is also considered a douche bag move. Thus as said in the first comment, curiosity is something that should be kept under check.