The name temporal relation is commonly used. However, it is also used in a generic and less strict sense, simply meaning any relation with some time aspect. It will not be possible to change the generic use of the term (-E7), and since using it with two meanings causes ambiguity (-E9), it is rejected as a name for bitemporal relations. In this respect ``temporal relation'' is similar to ``historical relation.''
Next, the term ``fully temporal relation'' was proposed because a bitemporal relation is capable of modeling both the intrinsic and the extrinsic time aspects of facts, thus providing the ``full story.'' However, caution dictates that we avoid names that are absolute (-E6). What are we going to name a relation more general than a temporal relation?
The name ``valid-time and transaction-time relation'' is precise and consistent with the other names, but it is too cumbersome to be practical (-E2). Also, it may cause ambiguity. For example, the sentence ``the topic of this paper is valid-time and transaction-time relations'' is ambiguous.