It depends, inventory systems are about far more than just counting items. For example, for accounting purposes, you might need to know accounting value of inventory based on FIFO (First-in-First-out) model. That can't be calculated by simple "totaling inventory received - total of inventory sold" formula. But their model might calculate this easily, because they modify accounting value as they go. I don't want to go into details because this is not programming issue but if they swear by it, maybe you didn't understand fully all their requirements they have to accommodate.
