That's kind of interesting for me to hear.
The last few times that I've rented an Uber, the driver (I usually use the "black car" option) usually shows up in a rented National/Enterprise vehicle (if you rent enough vehicles in a year you can tell the differences between the three big rental companies).
The plates/vehicle description tend to match what arrives for me (e.g., Uber tells me that I'm expecting a Black 300, I get a Black 300); admittedly, I do not know what happens on the back end to add a vehicle (if it's Uber or if it's the driver), but, it seems to me that this is already happening in some areas.