You would see it - my RX100 according to DXO figures has better DR than my 6d but that's utter balls, the 6d blows it into the water (though the RX100 is very good, especially for a 1" sensor)! I'm really not sure how DXO work out their numbers...
The 6d recovers a *lot* more shadow detail than my 70d.
This shot is a good example;
sunset over the yard 19th Mar 16 b by -Odd Jim-
The camera exposed completely for the sunset, the rest is shadow recovery! The 70d couldn't do that without major noise.
The difference between my cropped Canon bodies and the 6d is quite pronounced, but I shoot a lot of landscapes where I guess the benefits are a little more defined.