I think it would work best as a live action drama series.
The manga had just good, but not amazing, facial expressions and I think a live action series would naturally improve that a lot. In contrast, anime adaptations usually don't have the best facial expressions displayed because it's harder to take those facial expressions (which are in black and white, regardless of the scene's lighting) and transfer that to animation. It's many times harder to transfer an expression from manga into anime and still have it be as impactful.
Furthermore, the contrast between punpun and everyone else can be exaggerated more with live action as opposed to anime.