@blloydb,
I agree that the term "cognitive" is used rather loosely. I was thinking less about the clinical psychotherapeutic treatments involved in cognitive behavioral therapy (upon which Aaron T. Beck has had such a profound influence) than about the scientific interdisciplinary studies of mind, which totally broke away from behaviorism with the work of Herbert A. Simon, Noam Chomsky, and others in the U.S. in the 1950's and 60's. I know from personal communications with Simon that he was strongly influenced by European psychologists, and the iron grip of behaviorism in which John B. Watson (during his short career as a psychologist) and B. F. Skinner (during his very long one) held American psychology did not extend to Europe. Empirical studies of the internal workings of the mind virtually stopped in the United States for the 30+ years behaviorism reigned.
My take on the differing histories of European and American psychology in the 19th and 20th centuries is similar to yours. They have very different histories. 21st century psychology may unify the study of mind/brain(CNS)/behavior around the world, however. There are different traditions and different histories, but now scientists all over the world are starting to talk to one another and take one another's work seriously.
I think all scientific studies value experimental evidence over anecdotal reports. This does not mean that observation and protocol analyses aren't valuable scientific tools, however.