As you said, it is no secret that Satoshi based the whole concept of Bitcoin on the same features that gives Gold it's value, namely scarcity. Yes, Gold has multiple uses because of it's physical characteristics and that adds to it's value, but Bitcoin can also be used for other things like Smart contracts.
Gold are not really being used as a payment method anymore, because it is not used to back fiat currencies since the 1930's, but you can still trade Gold for fiat currencies and that is very similar to the "currency" use case that Bitcoin share with physical Gold.
Bitcoin is just better, because it is more practical for global transactions.
