Well, your character and Jigsaw have similar motives.
Jigsaw kills people so they can cherish their life and enjoy life.
Your character killed all the campers so they could enjoy life forever.
They both torture people (your character does it mostly physically and Jigsaw does it mentally and physically).
The only thing that truly sets them apart is that Jigsaw makes his captives do obstacles and games and your character doesn't.