If the Vedas oral tradition "led directly to complex story-telling literature," you may have a fair point, but with only the example of the Vedas having a complex oral tradition, this (as a candidate for counter-example) isn't exactly clear. But I'm almost certain there's tons of complex stories in mine and especially in other cultures of which I am not aware. If there wasn't, maybe I could give you a hand.
Hindu tradition state that it directly led to elaborate literature and rich story telling. Puranas [1] and epics like the Ramayana [2] and Mahabharata [3] were orally transmitted as well. The point being that the Vedas are pretty terse which makes it hard to understand or apply without specialized knowledge / background. The Puranas, Ramayana and Mahabharata provide context via stories etc..