Yes. But that is the explanation accepted by many for why on earth we believe GOD is referring to His Personage in the plural: “Let US make man in OUR image.”
A reference in Genesis to the Third Person of the Trinity:
Genesis 1:2
Now the earth was formless and empty, darkness was over the surface of the deep, and the Spirit of God was hovering over the waters.
A prophecy in Genesis about the Second Person of the Trinity eventually coming to earth to save us:
Genesis 3:15
“And I will put enmity between you and the woman, and between your offspring and hers; he will crush your head, and you will strike his heel.”
In the New Testament we see it all put together clearly for us, e.g.,:
Matthew 28:19
“Therefore go and make disciples of all nations, baptizing them in the name of the Father and of the Son and of the Holy Spirit,”
This "reading back,” as you put it, is very common. The question in each case is: is it done correctly? So, do you think Paul does it correctly in the following two examples about Tongues, and about Covenants? (And if so, HOW would you say our brother Paul managed it, Dave?)
1 Corinthians 14:21-22
21 In the Law it is written:
“With other tongues
and through the lips of foreigners
I will speak to this people,
but even then they will not listen to me,
says the Lord.” [Isaiah 28:11,12]
22 Tongues, then, are a sign, not for believers but for unbelievers; prophecy, however, is not for unbelievers but for believers.
Galatians 4:24-27
24 These things are being taken figuratively: The women represent two covenants. One covenant is from Mount Sinai and bears children who are to be slaves: This is Hagar.
25 Now Hagar stands for Mount Sinai in Arabia and corresponds to the present city of Jerusalem, because she is in slavery with her children.
26 But the Jerusalem that is above is free, and she is our mother.
27 For it is written:
“Be glad, barren woman,
you who never bore a child;
shout for joy and cry aloud,
you who were never in labor;
because more are the children of the desolate woman
than of her who has a husband.” [Isaiah 54:1]