There is no pushing of risks. There are inherent risks to any activity, be it crossing the road or driving for Uber.
With a conventional taxi company, if something bad happens, you deal with the taxi company, get compensation, etc etc
With Uber, they wash their hands of it and say it's all the individual drivers fault. So now the drivers have to deal with any bad stuff, and their insurance companies as well.
This is Uber, pushing the risk onto drivers, so it can make more money.
In many places, if something bad happens with your taxi ride, you're still dealing with just the taxi driver. They are independent contractors in many places.
I'm not sure what the makeup is of employees vs. independent contractors, but they are definitely out there in significant numbers. In NYC, for example, most are independent contractors, and this has resulted in a whole mess of problems ( http://nypost.com/2015/01/22/1-5m-in-taxi-drivers-money-held... )
I really hate the trend of libertarianism inventing its own political correctness, policing regular speech with well-known meanings ("pushing risk") for hidden accusations of oppression and slavery.