@nothead
The whole reason you know which ''god'' the text is referring to is because it specifies that the title, 'god', is being used outside the usual context of The God. That's how we know that when ''God'' is referred to in the Hebrew Bible, it means JHVH, even though it isn't specified. If we use your figuring for how the titles are used, then in Genesis, it might be talking about Thor. Or some King. How about the times where people in the Bible refer to 'god', /Elohim, yet it isn't specified they are talking about JHVH? Well, we know they are referring to JHVH, because they don't say otherwise. Find an ambiguous instance of Elohim in the Bible, and your argument might hold some merit.
"Ye are elohim," Psalm 82
...and the KJV version has in the OT text "children of the most high," when "sons of the most high," is better.
In fact this realization alleviates the closest possible statement of Christ, that he was possibly God, Jn 10 "I and the Father are one."
Without knowing this, you are stuck with the English version "ye are gods" which makes very little or NO sense.
"My lord and my elohim" Thomas, Jn 20:28 As an Aramaic speaker, his word for "God" would be "elohim,"
of course in Aramaic but INFORMED by Hebrew. However it is also the word for "otherly beings" some good, some bad.
See Exodus 7
7 And the Lord said unto Moses, See, I have made thee an elohim to Pharaoh: and Aaron thy brother shall be thy prophet.
...in context this cannot be God Almighty, unless you believe Moses is also Him.
Heb 1
8 But unto the Son he saith, Thy throne, O God, is for ever and ever: a sceptre of righteousness is the sceptre of thy kingdom.
9 Thou hast loved righteousness, and hated iniquity; therefore God, even thy God, hath anointed thee with the oil of gladness above thy fellows.
...to understand this verse we see it comes from Psalm 45
6 Thy throne, O God, is for ever and ever: the sceptre of thy kingdom is a right sceptre.
7 Thou lovest righteousness, and hatest wickedness: therefore God, thy God, hath anointed thee with the oil of gladness above thy fellows.
...however it was probably Solomon this verse referred to first, and unless you believe SOLOMON is God, then you cannot believe it refers to Jesus as God. In fact kings were believed to be "elohim" since God appointed them spiritual as well as secular rulers upon Israel, or Judah. So then we see the first reference to "elohim" as the king appointed, and the second repeated and personalized "elohim"...as God.