Peter, correct, its the Born again person who seeks the True God, and its an indication that God is drawing them to Christ Jn 6:44I believe God gave us a new nature when we are born again and that this is what the apostle Paul taught. We have no idea what we are looking for until we have that.
No man can come to me, except the Father which hath sent me draw him: and I will raise him up at the last day.
I believe the New Birth by the Spirit is part of the drawing means to Faith in Christ, being taught of God