Command and Conquer proper is lightly campy yet still somewhat serious in its tone. The world is engulfed in an unstoppable alien crystal!
I'm not sure why people think the entire series is "comedic". Perhaps it's just the backlash for when EA sandusky'd the franchise; C&C fans are trying to forget that iteration and universe.
Red Alert is just a franchise that had a slightly more lighthearted tone in its first iteration, established an identity in its second, and got dialed to idiotically absurd in the third. Red Alert 2 was beloved in that it was silly with attack dolphins and mind control and mirage tanks, but it was still played straight; that's what made it great. Red Alert 3 totally missed the point and went for the LULZcrazy fanservice gimmick with transforming mechs, schoolgirls, Mt.Rushmore lasers, and APCs that shoot guys out of a cannon; it stopped being silly and just became stupid. YMMV.
Either way, C&C Renegade was actually a rather well-liked game back in its day and there are even mods that try to resurrect the gameplay from Renegade. It was campy in that everything was played straight. I could imagine EA giving Bioware control of the story and having an excuse to plug in multiplayer.
Plus, Bioware once took the Star Wars license and made KOTOR out of it in the "silver age" of Star Wars games before all this Force Unleashed and TOR garbage. They can make a great game out of C&C.