That's a very interesting lens to view the series through. Haven't seen the newest one yet but I'd have suggested he is Karma incarnate.

He has the Midas touch-- everyone around him dies. Everything he touches dies. Yet he persists as an unstoppable force of nature, bringing death and destruction wherever he goes-- including to his loved ones.

As punishment for his previous life as a hitman, he's locked into this weird purgatory where everything he cares about is systematically taken from him at every opportunity (from his actual family to his "work family," his cherished car and even his very identity).

What I've seen of the series so far has him constantly on the run. You can't outrun your past forever.