The futuristic city with flying cars at the beginning of the movie definitely has all the cyberpunk visuals, and technically Zorg is the head of an evil corporation. But the real villain of the movie is incoming force of evil/darkness. And the plot is resolved through the power of love. Even the President of Earth is actively trying to help do the right thing and save the planet.
While there are some great cyberpunk visuals at the beginning of the movie, I don't know if the themes are there to call this cyberpunk. What do you think? Would you consider The Fifth Element to be cyberpunk?
Both are good. From a genre perspective it shows that corporations have taken over. I like the idea of corporate militaries, but corps influential enough to tell governments what to do hews closer to reality.