I think I can agree with this with one qualifier of my own. I believe that man does not seek God on his own (John 6:44). I do believe that God first seeks the sinner (Luke 19:10). However, I believe that God seeks every man, not just an elected group. And, I believe the Word of God is very clear on that matter.
John 1:9 That was the true Light, which lighteth every man that cometh into the world.
John 6:51 I am the living bread which came down from heaven: if any man eat of this bread, he shall live for ever: and the bread that I will give is my flesh, which I will give for the life of the world.
John 7:37 In the last day, that great day of the feast, Jesus stood and cried, saying, If any man thirst, let him come unto me, and drink.
John 10:9 I am the door: by me if any man enter in, he shall be saved, and shall go in and out, and find pasture.
John 12:32 And I, if I be lifted up from the earth, will draw all men unto me.
I Timothy 2:4 Who will have all men to be saved, and to come unto the knowledge of the truth.
Titus 2:11 For the grace of God that bringeth salvation hath appeared to all men,
II Peter 3:9 The Lord is not slack concerning his promise, as some men count slackness; but is longsuffering to us-ward, not willing that any should perish, but that all should come to repentance.
Revelation 3:20 Behold, I stand at the door, and knock: if any man hear my voice, and open the door, I will come in to him, and will sup with him, and he with me.