In Daniel Chapter 3 and Chapter 4, did Nebuchadnezzar truly recognize the one true God?

Yes, I believe he recognized the one true God, but did he open his heart to loving and accepting this one true God? Only God knows.

As James wrote, even the devil and his legions believe and recognize one true God and even tremble at His name, but it doesn’t mean they will share in eternal rewards.

James 2:19 Thou believest that there is one God; thou doest well: the devils also believe, and tremble.