I don't think Batman was originally intended to be
“campy” or comedic.
Of course, I grew up watching the 1960s version of
Batman, as portrayed by Adam West, so that's how I long thought of the character. It was quite a change to see the 1990s version, with Michael Keaton, portraying the character in a much darker, more serious way.
The very first screen appearance of
Batman was
a 1943 theater serial. It consisted of 15 episodes, averaging around twenty minutes each. The way it was originally presented was when you went to a theater to watch a movie, they'd show you an episode before the main movie. Each episode ended with a cliffhanger, and an exhortation to return to the theater next week to see the next episode.
It was meant to be serious, and somewhat dark, but was made on a very tight budget, and ended up coming across as comedic. It's easy to see, if you watch this series, how the 1960s
Batman was influenced by it, to be an intentional version of what the 1943 version unintentionally was.