If Uber disappeared tomorrow, everyone would download another app and do the same journey in the same car with the same driver and the day after tomorrow would forget that Uber ever existed.
Yes and no. There’s no ongoing relationship between people on Uber, drivers don’t have passengers as “followers” or “friends” or vice versa. There’s no network effect really. And many users and many drivers have multiple apps anyway. The stickiness of Uber is incredibly low.
But today they have the biggest network of drivers, and until they do disappear (or get disrupted by something like self-driving cars), network effect ensures that they'll remain the default option.