I think the basic idea with putting dancing on screen is to show the space and let them dance in it, and other theater similarly.
I do like to basically see the opera the way I might see it in the theatre, although I do think close ups at choice moments is important too. I think a close up of Wotan saying goodbye to his daughter is appropriate. A shot overhead is unnecessary. Overhead shots in ballet sometimes make some sense b/c seeing the patterns can be interesting, even if it is not what we usually see in the actual theatre.
In cameramen's defense, however, I have been to a performance and focused on one performer and then missed something in the action on the other side of the stage and been mad at myself.
So there can be an opportunity for the people behind the cameras - the director, basically - to help us to see more than we might if distracted, to keep us on target - but subjective darkness descending, examination of spear points? No, when many cameras are available, some principles of cinema need be kept in mind - the sequence of the shots edited together can make or break your experience of the whole event - but, yes, if it "works" in the theater, it'll work the same way on screen if you let it, don't cut it up, don't make sausage meat out of it.
I agree with you completely, but to play Devil's Advocate.....I know in film (both from taking a film class in German Studies and having an aunt who was an art director) simply filming what happens is not the goal of a director and I am guessing not the goal of a video director either. Each director is creating (in his or her mind) a piece of art separate from the actual sequence of events that an audience sees. That is why that lousy Tristan und Isolde video director had the picture fade in and out while Tristan was dying. She was making an artistic choice and statement by making us feel Tristan's tentative state of consciousness. I personally think it was a FLOP decision on her part.
This is also why we get furious when a movie version of a beloved novel comes out. They sometimes combine characters (due to length of novel) or cut out scenes or combine scenes or even redo the story somewhat. This is because directors do not feel they are taking a great work of art and simply translating it into a visual image. They feel they are creating a whole new work of art and not simply a recreation of the novel. Sort of like how the ballet Don Quixote was a new and totally different work of art than the novel.
And that happens when the person is also filming opera and ballet. They often have their own agenda which frustrates us.