I would (and expect of my peers too) only value the donut-bringing as a minor strength compared to their technical skills and interactions with me. Which I think makes a little game-ifying ok: If someone wants to make a conscious effort to be the donut guy instead of the never-say-hi-in-the-hallway guy, they've earned a few points.

The amount of points to award is the tricky point, maybe it depends on company culture. How much value does the lovable team player bring, how much value does the awkward quietly-fix-anything person bring?