Yes it does. Indeed it is a mathematical theorem from Information Theory, called the data-processing inequality. Quoting from two good textbooks on Information Theory:
“No clever manipulation of the data can improve the inferences that can be made from the data” (Cover & Thomas, Elements of Information Theory §2.8).
“Data processing can only destroy information” (MacKay, Information Theory, Inference, and Learning Algorithms exercise 8.9).

