[Aaron]

Okay then. Let's stick to the topic. What did Gollum do to deserve death?

Killed Deagol and stole the Ring
Spied on his own family
Tried to eat Bilbo
Continuously unpreciativeof the Elves despite the kindness they showed him
Gave up the location of the Ring to Sauron
Basically stalked the Fellowship
Tried to kill Frodo and Sam
Led Frodo and Sam to Shelob
Bit Frodo's finger off
Stole the Ring

There is more than enough there to condemn him as a villain. The ammount of people he hurt was collosal. His wound was just one of many that Frodo had to endure which probably led him going into the West. The crimes he commited were all terrible and despite whatever aspects of tragedy there might have been to his character that does not turn back the clock does it? Some thing once done can never be undone.