Yes. And even without an individual score they are always looking at the metrics of their success. In a game like this it can be very healthy ones, like the positive experience of working together. People see your deeds literally and judge you by that instead of pressing tab and seeing whose getting the most kills / points. "Real" good leadership that works. And of course whether their team wins or loses.
I feel like that wouldn't have much effect on the way people play. It'd just be like a perk on when you're winning and losing. And wouldn't make a ton of sense to be just spawning in and be shook up.