Does it violate free will if the person was never given the desire to do something in the first place?

Thanks for the clarity.

Yeah, I think it’s an absurd position. Remember, we are not talking about proof, merely whether the existence of seemingly limitless suffering would give someone any reason whatsoever to doubt that an all-powerful and maximally loving / benevolent god exists.
You’ve bit the bullet and said “no”. Fair enough, I respect that.

I wonder whether you treat other claims this way? If X locks me in a dungeon and unleashes vicious dogs and a hail of knives at me, do I have any reason to doubt that X is a kind host? Logically speaking, X could have reasons.