Exactly. Jesus WANTS all of us to be saved, so if some of us end up not being saved, it's not because Jesus wanted it that way. It's because some of us CHOSE to say "No, thanks" to His offer. Which refutes Billy's idea that Jesus chose to die only for some of the human race. The only way Jesus would have refused to die for some of us, would be if He DIDN'T want some of us to be saved.
So your "Cake" ****ogy, and the scripture you cited above, both show how incorrect Billy's belief is about Jesus and what His desire is toward the human race.
Some Christians say that if you have incorrect beliefs about Jesus, then you have "another" Jesus with "another gospel" and you are therefore not a Christian....