Would like to know what differentiates consumer centered design from other design approaches eg. user centered design. What are the additional key elements that need to be addressed. Would be delighted to hear a comprehensive answer with an approach and methodology.
You could think of Customer Centered Design as an inherited subset of User Centered Design. That means that you do not address only user in an anonymous way, but the user is also a customer. A more targeted user group always have the benefit that you can more fine grained find out the actual target, such as task completion, in this case finding things to buy, and subsequently buy them.
Customer Centered Design is really a Contextual Design of User Centered Design.
Design thinking in itself lends to the aspect of creating mental models that go into processing a design solution. You're question is one that begs to be answered as to why there isn't a wiki on consumer design. Should there be? Perhaps. User-experience and Customer-experience weren't part of the vocabulary years ago either.
There are several other methods of course, but you asked about the difference between consumer and user experience.
If you are in marketing or product design, you will be focusing more on the consumer experience than user-experience. You want to build a better mouse trap that draws in potential customers. That is what we are getting at, so this is a valid point of the OP (original poster).
Of course user-experience is about the user. Can a user be a customer or consumer? of course.. so this logic has to be that a consumer is a subset of the user-experience. But hold on, what if its referring to a car dealership or shop without an online presence... heh. Okay, but we're not talking about anything non-software for this argument, ok? :)
As for the customer experience (cx) : can it be interchangeable with consumer experience? Sure - some could argue that point is merely semantics. But when you drill down into other thought leaders, you may see that consumer experience is the ACT OR PROCESS OF PURCHASING, while customer experience defines as a person who has already bought something. I saw this intellectual battle rage with leadership teams at major corporations on this exact same war of semantics. The war continues...