That just means that Uber is acting as a payment processor for the driver. If you buy an app or make an in-app purchase in the Google Play Store then Google's name appears on your statement; that doesn't make the app publisher Google's employee. The same goes for non-app vendors using Google Pay or similar services such as PayPal. The point of Uber is to connect riders with drivers and provide standard systems for payment and review—the actual transportation is up to the users.
When I was a part time fitness instructor, I taught at corporate gyms where the employees had free memberships. I got a 1099 every year from the gym. Did the employees pay me? Would that be an expense of the corporation?
https://investor.uber.com/news-events/news/press-release-det...
https://dealbook.nytimes.com/2011/09/23/groupon-changes-its-...
For any less shady business, drivers would be considered contractors for Uber. Uber is merely trying to get around riders being considered employees.