Romans 3:11 disagrees with you.
But these verses would disagree with your view.
2Ch 30:18... But Hezekiah prayed for them, saying, "May the good LORD provide atonement for everyone
2Ch 30:19
who prepares his heart to seek God, the LORD God of his fathers, though he is not cleansed according to the purification of the sanctuary."
Job_5:8 "But as for me,
I would seek God, And to God I would commit my cause;
Job 8:5 If you would
earnestly seek God And make your supplication to the Almighty,
Psa_14:2 The LORD looks down from heaven upon the children of men, To see if there are any who understand,
who seek God.
Psa_53:2 God looks down from heaven upon the children of men, To see if there are any who understand,
who seek God.
Psa_69:32 The humble shall see this and be glad; And
you who seek God, your hearts shall live.
Man can seek God but they do not always seek God. Even the best Christian, since we all sin, does not always seek after God. And even the worst sinner can seek God.
As we are told in
Isa 55:6 Seek the LORD while He may be found, Call upon Him while He is near.
Isa 55:7 Let the wicked forsake his way, And the unrighteous man his thoughts; Let him return to the LORD, And He will have mercy on him; And to our God, For He will abundantly pardon.
The words in Romans 3:11have been miss used to support a theological view.