No, actually, that interpretation falters ... as you will know, your origin of the God is not universally accepted, and creates a lot of problems along the way. It's generally acknowledged, but not universally.
Most significantly, is that you make no account of the change in how God is understood from its primitive origins as a War God, through monolatry and thence to the monotheism of 2nd Temple Judaism, a journey of a thousand years.
As an example, what do you make of the Hebrew deity ʼĒl ʻElyōn' (cf Genesis 14:18-20) generally translated as 'God Most High, maker of heaven and earth'?
This would appear to be the God of Melchizedek, king of Salem.
Psalms 78:35: "And they remembered that God [ʼĒlōhīm] was their rock, and the high God [ʼĒl ʻElyōn] their redeemer."
Deuteronomy 32:8 appears to identify ʽElyōn with ’Elohim, but not necessarily with Yahweh. It can be read to mean that ʽElyōn separated mankind into 70 nations according to his 70 sons, each son the tutelary deity over one of the 70 nations, one of whom is Yazhweh, the God of Israe.
Alternatively, it may mean that ʽElyōn, having given the other nations to his sons, takes Israel for himself under the name of the Tetragrammaton. Both interpretations have supporters.
In Isaiah 14:13–14 the rebellious prince of Babylon says: "I will ascend into heaven, I will exalt my throne above the stars of God (El) ... I will be like the most High (ʽElyōn)."
Elsewhere the relationship is different, 2 Samuel 22:14 suggests YHWH over Elyōn. as does Psalm 97:9:
"For you, Lord [YHWH], are Most High [ʽelyōn] over all the earth; you are raised high over all the gods."
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So the picture is nowhere near as simple or as static as you seem to insist.