If a credit card is the example of a layer 2, with dollars being the base layer, would you say that dollars don't matter then, and the only thing that matters is the layer 2?
You have it backwards. With credit/bank cards the second layer is dollars that we're transact in. If financial institutions decided to settle amongst themselves with commodity stocks, government bonds or FedCoins would you even notice? It just happens that in the US dollars also make a good settlement layer.