Call it self-will if you like. The old, natural, unregenerate man has no self-will to respond to or follow God. He is at enmity with God, a child of wrath. For him the gospel is foolishness. All this is scripture, and you know that.I prefer the term "self will" since man's will is constrained by many factors.
However, we are asked/exhorted to choose to believe and have faith.
If man has no choice in the matter, why would God punish those who do not choose to believe in Him?
It is only the new, regenerate, man who want to believe. Only the new man is spiritual. Do not mix the characteristics of the old and new man.