The company that delivers fully autonomous vehicles would have no trouble securing funding to not have to operate within Uber's walled garden and give Uber a 22% cut of profits, and make their own app. Remember, when the independent contractors go away, you don't need offices in every city to onboard drivers, you don't need a big legal team to fight the ongoing "are they contractors or employees" debate, etc.
In other words, the company that delivers autonomous won't need $10B to make a cloned Uber app. Since the driver is the biggest cost for Uber, riders will gleefully switch to the clone at even cheaper prices.