"Dr. Freud"? Yeah, good one
I'll admit that Sam could have treated him better but not because he deserved good treatment but due to the simple fact that a dangerous schizophrenic should not be antagonised. The Shelob incident was the result of the machinations of a mentally disturbed sinner and nothing more.
But why don't you answer this question then? Where was Sam when Smeagol killed Deagol? Hmm, maybe my mind ain't what it used to be but I don't recall any teasing there. No, Gollum simply killed without provocation based on a lust for an inanimate object. No better than other murderers who kill for money to be honest. He was motivated for selfish intrests and acted wrongly because he sought to protect an object which bought him joy. The definition of an egocentric personality, how can you defend someone so morally bankrupt?