1). While Uber has been very Bay Area-heavy, it has had a distributed engineering team for many of its core operations for a very long time. For example, many of its core infrastructure was built in Europe. Cross-timezone collaboration hasn't been the smoothest, but of all the large "FANGish" tech companies, Uber actually has the most experience with non-HQ teams building business-critical systems. Even companies seen as very progressive in terms of eng culture, like Stripe, seem to keep the core business close to HQ (this is my subjective observation, and I'd love to proven wrong here, because I think Stripe, as a whole, is awesome).
2). India is a country with many people and many engineers. If there's one strong believe I can state in this post, it's that there are many incredibly talented engineers who are living in India and are choosing to stay there. Uber has experience in building engineering teams outside of HQ. It's not a sure thing, but I think they can do it.
Happy to answer any other questions or comments.
(I guess as a disclaimer, I have zero financial stake in Uber, but I have some friends who still work at Uber, so that may or may not influence my opinion)