It is going to be easier if there are references to material to explain each of the naming proposed.
For example, "RDF Graph" is a term defined by RDF concepts:
As such any other usage of the term is misuse of that spec.
In SPARQL 1.0 (and SPARQL 1.1 Query) graphs just exist - there is no mutability. It might be worth pointing out that mutability occurs outside RDF.