Time to call people out on their misinformation (this comment will contain potentially MAJOR spoilers - I'll keep them as generic as possible though)
You DON'T destroy EUROCORP. You destroy the Eurocorp HQ - there's still plenty of Eurocorp assets/products/other stuff around. You also kill the CEO, but he can be replaced.
And you DON'T kill/destroy the people in Eurocorp BECAUSE THEY'RE EVIL. You do it because someone you have reason to trust, and who would have ways to know, convinces you that they plan to kill you, and can do so at any time. THAT person wants to bring down the entire Syndicate system, and is uniquely placed to do so. They're manipulating resistance groups as well as several Syndicates to ensure the maximum efficiency in their attempted revolution.
Yes, the plot is a good take on the kind of story you'd expect in the Syndicate universe - the problem is that it's NOT told well AT ALL. Most of the storytelling is NOT integrated into the game, but included in the background - digital business cards, "data transfers" from certain computers, etc. If you dig through those backstory parts, you'll realise that without stopping and reading up on things, you were missing 90% of the reason the story makes sense. With those details, it's not a truly great story, but it's reasonably good, and things which seem silly on the surface start making sense. Without them, it's a generic, predictable and occasionally ridiculous stereotypical cyberpunk plot.
And regardless of the actually decent (but not great) single player story, the main reason I love the game personally is how well the Co-Op mode captures the feel of being in the Syndicate world. There are familiar locations, but they've been altered a little for FPS gameplay. The environments are more open, allowing for more varied approaches to the situation you're in. The boss fights are about outwitting intelligent AI, not finding the specific gimmick you need to use this time. You feel like you're an Agent from the original game, working as part of a 4-person team, wiping out anything that gets in your way. Enemy Agents actually FEEL like a legitimate threat, even on Normal. They have many of the same capabilities your squad brings with you.