Indeed. Different media will have different requirements. I'd say that static visual media like manga and comics fall in between movies (and games) and written text: the reader should still be able to see what's going on, but he can study the scene at leisure.

Sotrytelling should come first, though I approach fight scenes as an integral part of the story. Then again, I write the kind of stories that demand realistic fight scenes. Stories from other genres, such as slapstick comedy, are going to demand a very different approach to fight scenes, and the fight scenes should be tailored accordingly.