Not really. I mean, it's always somewhat more family oriented and perhaps a little lighter in tone, but that doesn't necessarily equate to "camp". There is still an underlying seriousness to the comic book, as there is in other comic books. To me, the only real comedic parts are when the Thing and the Torch go at it or when the Thing is incessantly complaining. But that's like when Spider-Man is always cracking jokes while he's fighting criminals. Or at least he used to.
Mr. Fantastic & Invisable Woman's exchanges of "Oh, Darling." & "Yes, Dear." are Brady Bunch campy. Psychoman, Blastar, Mole Man all campy villians. Sue Storm being of little use other than to be lusted after or a victim are classic damsel in distress camp. Only thing the comic missed is tying her up to the railroad tracks. The Thing talking about his "Aunt Petunia", campy. The Fantasticar? The name alone is corny. The X-Men have a stealth jet, with all of Reeds smarts the Fantasticar is the best we get?
And Batman has the Batmobile and the Batarang and the Batcave and the Bat- god knows what else.
Many of Spider-Man's villains (for instance) are pretty damn lame...if they're written that way. I mean, the Green GOBLIN?

That's his frickin' arch-enemy and yet
apparently he looks so lame, they felt they had to change him for the movie. Unfortunately, they come up with something worse.
And a lot of married couples have pet names for each other...it disgusts me in real life.