I've heard about BMW experimenting with a similar idea to much dismay of their dealer network. I see shopping for a car online similar to purchasing shoes or pants online, you need to TRY THEM.
Online is great for getting a feel for whats available or even for finding a better deal on what you want but there is no way the online experience can make up for test drives and hands on time with the vehicle.
Take the CLA for example, theoretically it could be bought on stats alone but i need to make sure that the things i need to fit in the trunk will actually fit there. I believe returning a vehicle is much harder than returning a pair of boots.
Selling vehicles online certainly has a place in the car buying experience but there is no way it can completely supplant dealer networks, people want test drives even if only to turn around and go order the vehicle online...