Yes, it would be an excellent idea to do an inventory of this cave, - there has been so much loose talk which included that ludicrously expressive noun 'loot' - it sounds quite disgusting in Goblindegook, that it would be foolish to overlook a thorough examination of the cave.
Nevertheless, it is quite clear that stuff is stashed somewhere - and, also, I think a quick look in the other cave where Sildar Hallwinter awaits us might not go amiss.
we already looked there and found nothing of value