I think if that was true, there wouldn't be lvl 50s with 500 kills. I believe it is whoever finishes of the mob gets the kill. This would also explain why bears tend to have lower kill counts than others (from what I've observed).
Edit: also I forgot there's been people who were 50 with 0 kills and 0 deaths. Just being in range and not attacking won't give you a kill count
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