I used the word 'embed' because this implies the deity could (possibly) be working within the rules of physics. The relationship between the deity, physical time and whether it is immediately involved in human events would be an interesting digression. The timelessness of physics is a relevant set of posts for that.

I agree with your comments. Regarding the strength of implications in either direction, (the possibility of a deity given a vigorous religion or the possibility of a true religion given a deity), there are two main questions:

• if a deity exists, should we expect that it cares if it is known?

• does the world actually look like a world in which a deity would be revealing itself? (though as you cautioned, such a world may or may not actually have a deity within it)

If this thread is likely to attenuate here, these questions are left for academic interest ...