Right, with you.
While it is overwhelmingly likely that the term "composite diagram" indeed derives from "composite structure diagram", they're not the same thing in EA's terminology. "Composite structure diagram" is a diagram type, while a "composite diagram" is, shall we say, a diagram
role -- it indicates a special relationship between an element and a diagram.
In MDG Technology design, you specify in an element stereotype definition whether creation of elements with that stereotype should also cause the creation of such special diagrams, and if so, what type of diagram should be created. These properties are called
_makeComposite and
_defaultDiagramType, respectively.
So the term "composite" is in there, and does not refer specifically to the "composite structure" diagram type. In addition, the GUI allows you to select any type of diagram as the "composite diagram" for an element. Even the default composite diagram type for an element type is not necessarily the composite structure diagram. Activities, for instance, get an activity diagram.
I agree that "attached", or better still "linked", diagram would be a better term for these, especially since as you point out a link is clearly what the icon indicates. So an element may have any number of "child" diagrams, and may have one "linked" diagram, which by default is a child diagram, but does not actually have to be(!).
Buuuut, since the term "composite" is used in MDG Technology definitions, it can't be changed.
Also, I make it a policy to rather use a supplier's bad terms than make up my own good ones -- at least that way, explaining them isn't
my problem.

/Uffe