Well yes, fair point. Of course all of this involves a lot of speculation about the people involved and the particular circumstances of his death. His quiver contained mostly unfinished arrows, the two finished ones being broken. So maybe they took all the good ones. As for the bow, well I don't know, having two bows might have raised questions.
Or maybe I'm reading too much into it, and the missing items were there but aren't preserved - who knows? Maybe the archeologists will figure it all out, but until then it's fun to speculate.