Does God owe them this desire?
God owes nobody nothing.
Is this your ultimate fallback position? That God makes people with no chance for salvation, creates them with no capacity to do good and without even an inkling that they should desire to yearn for grace and renewal? And that because they act out on their nature it is "just" to punish them with eternal torment? Even thought everything they do is exactly what God wants them to do?
I don't believe that is consistent with a just and merciful God.
SD