I like it because I'm normally up there with my kills, and it seems like a good incentive, [i]buuuuuuuuuut[/i], it will mean not getting rezed (I'm always rezing even if I have to double back), or they'll stay in public areas ranking up kills instead of progressing the strike.
Maybe have a par time/kill count unique to each Strike and done without dying (maybe each death only effects that particular Guardian to prevent late arriving noobs or afk'er messing it up)
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They could do like in Nightfall then. Where the kill quota isn't counting until you reach the Strike area.