All kinds of people "seek (some) God."
No, Luke didn't write that Cornelius was seeking (some) God, as you say. This is just an attempt to water down what Scripture actually says.
This is what Luke wrote about Cornelius in Acts 10-
1 At Caesarea there was a man named Cornelius, a centurion in what was known as the Italian Regiment.
2 He and all his family were devout and
God-fearing; he gave generously to those in need and
prayed to God regularly.
3 One day at about three in the afternoon he had a vision. He distinctly saw an
angel of God, who came to him and said, “Cornelius!”
4 Cornelius stared at him in fear. “What is it, Lord?” he asked. The angel answered, “Your prayers and gifts to the poor have come up as a memorial offering
before God.
In 3 verses, Luke mentions God, with a capital G. That's not (some) God. And only the God of heaven is capitalized.
The angel from God said this to Cornelius:
5 Now send men to Joppa to bring back a man named Simon who is called Peter.
In ch 11:14 Peter explained to the saved Jews back in Jerusalem WHY he went to see Cornelius:
13 He told us how he had seen an angel appear in his house and say, ‘Send to Joppa for Simon who is called Peter.
14
He will bring you a message through
which you and all your household will be saved.’
So, Luke was very clear. Cornelius, as an unsaved Gentile, was devout, prayed to God and gave alms to the poor. And God HEARD HIS PRAYERS and sent an angel to tell him to send for Peter, through whom he would hear a message by which he and his household would be SAVED.
Nothing about God regenerating him so he could or would believe. Nothing about God causing anything but his salvation when he believed Peter's message.
We know Cornelius was saved by faith and not by election becaue of what Luke said:
17 So
if God gave them the same gift he gave us who believed in the Lord Jesus Christ, who was I to think that I could stand in God’s way?”
I don't see how that answers the question at hand, and certainly not if it took a miracle by God to move Cornelius towards Peter.
What exactly, is the question at hand?
Regarding a "miracle", God was merely responding to Cornelius' seeking Him.
Acts 17:26-27
26 From one man he made all the nations, that they should inhabit the whole earth; and he marked out their appointed times in history and the boundaries of their lands.
27
God did this so that they would seek him and perhaps reach out for him and find him, though
he is not far from any one of us.
Cornelius fulfilled these 2 verses. Cornelius did seek God, and found Him.
