While I didn't use Uber in India, Mexico City was the same experience for me. In fact our local office strongly encouraged us ONLY to use Uber over anything else. It was by far the quickest, and safest way to get around.

I wouldn't be so sure - Ola is a lot more popular in India and using Uber is usually a giveaway that you may not be familiar with the routes.

I think the point is that as a foreigner, you're more likely to have Uber already installed than even knowing about Ola/Didi/whatever happens to be popular in a given country