This kind of thinking is very warm and fuzzy with one or two pigs, and much less so when it's on the scale of billions.
A bank acts like an internet router but one that transforms the risk relationship. It is not an intermediary that accepts deposits and lends them on. It is an intermediary that acts as a third party to a double sided debt contract where one side owes products and services to the creditor and another side owes money to the debtor.