Yes. God’s choice of who would be the progenitor of the Messiah was not based on any work that either child had done, not works or foreseen merit..
That is gobbledy-gook. Where do you get from the Bible the concept of -
"The meaning of "hate" (when applied eternally) is God's sovereign decision of reprobation—His eternal decree to pass over an individual. That is nowhere stated in the Bible.
There is no mention God passing over Esau being because God hated Esau before He chose between them, nor as he chose between them, nor immediately after He chose between them as to who would be the vessel carrying the Messianic line to Christ.
The context of God’s word through Malachi is that God is not addressing Esau the brother of jacob, but is addressing the nations that descended from Esau and Jacob. JHWH’s complaint regarding Esau is that they had behaved treacherously toward, and had participated in attempts to destroy, the nation of Jacob, whom God had ordained to be preserved through history until Messiah should come from them.
The books of Amos and Obadiah catalogue God’s reasons for growing to hate Esau.
Amo 1:11
Thus saith the LORD; For three transgressions of Edom, and for four, I will not turn away
the punishment thereof; because he did pursue his brother with the sword, and did cast offall pity, and his anger did tear perpetually, and he kept his wrath for ever:
Oba 1:10
For
thy violence against thy brother Jacob shame shall cover thee, and thou shalt be cut off for ever.
Oba 1:11
In the day that thou stoodest on the other side, in the day that the strangers carried away captive his forces,and foreigners entered into his gates, and cast lots upon Jerusalem, even thou
wast as one of them.
Oba 1:12
But thou shouldest not have looked on the day of thy brother in the day that he became a stranger; neithershouldest thou have rejoiced over the children of Judah in the day of their destruction; neithershouldest thou have spoken proudly in the day of distress.
Oba 1:13
Thou shouldest not have entered into the gate of my people in the day of their calamity; yea, thou shouldest nothave looked on their affliction in the day of their calamity, nor have laid
hands on their substance in the dayof their calamity;
Oba 1:14
Neither shouldest thou have stood in the crossway, to cut off those of his that did escape; neithershouldest thou have delivered up those of his that did remain in the day of distress.
This is why God began to hate Esau (the nation) and allow their demise.
The nation of Jacob had also behaved treacherously toward JHWH and their wives by breaking their covenants to both. However, because of JHWH’s promises to Abraham, Isaac, and Jacob, God was preserving Jacob’s descendants as a nation. That is the contextual reason for God saying “Jacob I have loved, and Esau I have hated.”
Mal. 1:3 And I hated Esau, and laid his mountains and his heritage waste for the dragons of the wilderness.
Going back to the patriarchs. we read in Genesis that the individuals Esau and Jacob reconciled upon Jacob’s return. Esau had submitted to God’s choice of Jacob, and they both got on OK themselves.
Gen 33:4
And Esau ran to meet him, and embraced him, and fell on his neck, and kissed him:and they wept.
Gen 35:29
And Isaac gave up the ghost, and died, and was gathered unto his people,
being old and fullof days: and his sons Esau and Jacob buried him.
It was Esau's descendants who eventually broke faith with Jacob’s descendants, and incurred God’s hatred for it.
Paul does not expect his readers to take these two samplings from two diverse parts of scripture and glue them together in isolation to invent some theological chimera. He expects his readers to refer back to the contexts of both statements and draw inferences from the two related contexts. My conclusion is that Paul is showing us by His choice of Jacob that God calls and chooses vessels independently of their previous works. And by God's anger against Esau’s descendants Paul is showing us that He is not happy with people who oppose those whom God has chosen, and He can bring judgment upon them whenever He wills. And God is also able to postpone judgment of His chosen who betray Him, if He can still has some use for them in His overall plan.
But there is nothing in the text that indicates Paul thinks God hated Esau from eternity past.