Yes.
God grieves when His CHILDREN go astray.
NOT everyone is His Child. You become His Child by accepting His Son and being born again.
NOWHERE in Scripture does it say God grieves for those that reject Him. Because they AREN'T His children!
So YOU can infer all sorts of things from Scripture. I'll stick to what it actually says.
God weeps for the
disobedient and His children as well. He weeps for the lost. Its a primary theme in the Bible.
Jer 13:15
Hear ye, and give ear; be not proud: for the LORD hath spoken.
Jer 13:16
Give glory to the LORD your God, before he cause darkness, and before your feet stumble upon the dark mountains, and, while ye look for light, he turn it into the shadow of death,
and make
it gross darkness.
Jer 13:17
But if ye will
not hear it,
my soul shall weep in secret places for your pride; and mine eye shall weep sore, and run down with tears, because the LORD'S flock is carried away captive.
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Again.....
Luk 19:41
And when he was come near, he beheld the city,
and wept over it,
Luk 19:42
Saying, If thou hadst known, even thou, at least in this thy day, the things
which belong unto thy peace! but now they are hid from thine eyes.
Luk 19:43
For the days shall come upon thee, that thine enemies shall cast a trench about thee, and compass thee round, and keep thee in on every side,
Luk 19:44
And shall lay thee even with the ground, and thy children within thee; and they shall not leave in thee one stone upon another; because thou knewest not the time of thy visitation.
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Absalom is a type of........Satan. The typology is God weeping for His fallen cherub. Yes, that is the intended imagery.
God WEEPS even for the fallen angelic host. That is the true heart of God.
Pity. Mercy. Longsuffering. Eager to forgive. Desiring repentance and reconciliation. No wishing that anyone should perish.
2Sa 18:33
And the king was much moved, and went up to the chamber over the gate,
and wept: and as he went, thus he said, O my son Absalom, my son, my son Absalom! would God I had died for thee, O Absalom, my son, my son!
2Pe 3:9
The Lord is not slack concerning
His promise, as some count slackness, but is longsuffering toward us, not willing that any should perish but that all should come to repentance.