The thing is, Dobson is most likely confusing "parody" with "hate", and it wouldn't surprise me out of someone with such a simplistic and ridiculous view of the world.
See, Adam West's Batman is easily one of the most widely known adaptations of a superhero franchise ever, up there with the original Superman movies. At the time it was broadcasted it was popular, it was well-liked and as such it became known way outside of it's original target audience. To this day there's still parodies and references to Adam West's Batman, the most obvious of which is the campy sound effects and onomatopoeia interspersed with a fight scene.
This is where Dobson is getting the "hate" for Adam West, because Dobson is a humorless jackass he can't understand that a parody can be used as an homage for something, not just to mock it. Hell, many of Adam West's voice-acting roles after Batman were parodies of the character that made him famous. But Dobson is both humorless and an egotist; he can't imagine someone can like his work (For starters nobody likes his work) and parody it at the same time, so that can never happen to anyone, ever
There is a chance this is just pointless armchair psychology, but it wouldn't surprise me that Dobson's evidence of "hate" for Adam West is something like the Simpsons parody scene or something.