That's a silly idea. I'd be all for a "deaths" score, a la UT, where it lists how many times you've killed someone AND how many times you've died, but what you're proposing could have someone in the top three with a 0 score. That's just silly.
Scoring is never perfect in any game. You can't concern yourself with a numerical representation of how you did. If you had fun, you won.
And if you came out on first too, good for you.