Sure! I'll even agree (trivially, I guess) that thinking is definitely a part of that process... but that doesn't seem to contradict my earlier comment. I really just mean the "thinking" metaphor for writing is very far from my experience of what ordinary thinking is like -- so much that it seems bizarre to me to conflate them.
I don't see it as a metaphor. Writing and thinking are different. They can affect each other. Writing doesn't usually (ever?) happen without thinking. Thinking can happen without writing but, for me at least, the act of writing promotes a type of thinking that makes it easier to understand, analyze and develop my model of the world.