Maybe since the OP has a 'positive view', he ought to just go ahead and make the case he clearly wants to make?
I'll play devil's advocate. Archaeology is a pointless endeavor. It relies on a the notion that one is somehow acquiring 'knowledge' by digging up artifacts, when in fact it's the case that one had a story/hypothesis they made up in mind ahead of time (usually some variant of a conventional narrative) and ad hoc explain their findings according to that, or at most deviate just enough to be able to tell some coherent story that the artifacts are explainable through, in any case. At all stages, it is the archaeologist's construction that is doing the 'work', not any 'knowledge'. So why not just do "history" without consulting artifacts, if it's going to be arbitrary anyway - besides perhaps that arbitrarily checking our stories against 'artifacts' forces our creativity into (possibly) fruitful bounds?
If there is a "moral" issue, it might be just an issue of how questionable the motivations and projects of someone who wants to go digging, pretending to be discovering truths as they go, so that they might either simply win fame/fortune for themselves, amuse themselves at trivial fetishistic curiosities, or hold their "truth" over the heads of humanity as something that they must accept and regulate their actions by.