Not really. I think the only people who could make a positive difference are the ones unhappy with how it is. Sure they could be a horrible person who's done horrible things but if they were I doubt they'd care. They'd much rather take someone else's life than their own. So presuming it's another decent human being who's bitten the dust hope for all mankind is reduced just a little more. Only the evil are left behind. It takes a special kind of suicidal person to think they can fix the worlds problems and another that it's even really about that and not just the hate they have for themselves even when they're not bad people.
I wrote it tongue firmly in cheek, although statistically speaking, in a quantitative sense I'm correct. If Jeff Bezos walks into a bar, the average wealth wealth of that bar's customers goes up by a billion dollars. No one is actually better off, though.
If you ask people to rate how happy they are with their lives, denizens of this forum (and suicidal people in general) will be at the left tail of the distribution. Once we pass away, average happiness goes up by a iota (it's a barely perceptible effect, smaller than the error bars, yet still valid). But the world isn't actually better off (unless the dead person is someone actually horrible, like a murderer).