In other words, no Scriptural support, but you feel it very strongly, so it should still count.
Your analogy is false; we're not talking about a physical limitation, but a moral incapacity. The reprobate can no more will themselves to love God than I could will myself to be sexually attracted to a tree.
In the scriptures, we are asked what parent would give his child a stone when he asks for bread, and then told that our Heavenly Father is much more loving than that.
Indeed He is, since He gives bread, and the desire for bread, to those who only want a stone they think they can throw at Him.
It's not that the reprobate asks and is denied, it's that he refuses to ask, and if he mouths the words he denies them in his heart.