God killed Jehoram's sons

In Elijah's letter to Jehoram, he said that God would smite his children and his wives with a great plague.

Behold, with a great plague will the LORD smite thy people, and thy children, and thy wives. 2 Chronicles 21.14

From that, I expected God to send a disease to kill Jehoram's wives, children, and people. But he sent some Arabians instead.

Moreover the LORD stirred up against Jehoram the spirit of the Philistines, and of the Arabians, that were near the Ethiopians: And they came up into Judah, and brake into it, and carried away all the substance that was found in the king's house, and his sons also, and his wives; so that there was never a son left him, save Jehoahaz, the youngest of his sons. 21.16-17

So I figured the Arabians just enslaved Jehoram's wives and sons (Elijah, God, and the Bible say nothing about the daughters). But then, the next chapter starts with this:

The inhabitants of Jerusalem made Ahaziah his youngest son king in his stead: for the band of men that came with the Arabians to the camp had slain all the eldest. 22.1

Which means that the Arabians didn't just take his sons and wives away; they killed them. And since God was the one who stirred them up in the first place, he deserves credit for killing Jehoram's sons. (The verse doesn't say what happened to the wives, daughters, or the rest of the people of Judah.)

How many sons were killed by the Arabians? The text doesn't say, so I'll guess 3.

God's next killing: Ahaziah (of Judah)

Jehu killed 42 of Ahaziah's family (and God approved of this killing)

After Jehu killed what remained of Ahab's family in Jezreel, he went to Samaria and met with the family of king Ahaziah of Judah.

And he arose and departed, and came to Samaria. And ... met with the brethren of Ahaziah king of Judah, and said, Who are ye? And they answered, We are the brethren of Ahaziah; and we go down to salute the children of the king and the children of the queen. 2 KIngs 10:12-13

It was a short, productive meeting. Jehu had only one action item: kill all the attendees.

And he said, Take them alive. And they took them alive, and slew them at the pit of the shearing house, even two and forty men; neither left he any of them. 2 KIngs 10:14

That's all that 2 Kings says about it. But the killing is also covered in 2 Chronicles.

The destruction of Ahaziah was of God by coming to Joram: for when he was come, he went out with Jehoram against Jehu the son of Nimshi, whom the LORD had anointed to cut off the house of Ahab. And it came to pass, that, when Jehu was executing judgment upon the house of Ahab, and found the princes of Judah, and the sons of the brethren of Ahaziah, that ministered to Ahaziah, he slew them. And he sought Ahaziah: and they caught him, (for he was hid in Samaria,) and brought him to Jehu: and when they had slain him. 2 Chronicles 22:7-9

So we know that the killing of Ahaziah's 42 relatives was "of God" -- which means that God approved of these killings.
But was it part of Jehu's hit list from God?
I guess God only knows that, and he's not telling.
(I guess even God has the right to remain silent.)

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God's next killing: Jehu and his partner show their zeal for the Lord by killing the rest of Ahab’s family