I think what Bucky's aiming at is that things have evolved, from the top down, and differentiated depending upon the role which each individual serves and their level within the organization.
The Nazi thing only really holds water in a historical context, and for the people in charge, but generally speaking, most of us don't, or at least, didn't have any direct contact with them prior to the reveal. It was isolated to cells, our direct superior and whoever he deemed we have the privilege to interact with.