I hearby coin the term "Mytheism" and "Mytheist" (I've been using the term for a couple of years now, but there's no harm in being official about it).
Mytheism states that proof of the existence of the Gods is
irrelevant: it is the relationship we have with the Gods that is truly
real and therefore relevant. This relationship is defined, developed,
and described using mythic terms and mythology, which describes the God, it's history, its responsibilities, and its personality.
Although Myth is literally false on its surface, it carries truth in
its layers. These are Truths than cannot be fully described and
encapsulated using Logic: it is only using culturally understand and
relatable mythic terms that you can come to understand and build a
relationship with the Gods.
Coined (and copyrighted) in May 2010 (approximately) by John David Hickey