(Film-school grad here) I don't know much about theatrical techniques per se, but cinematic (and comic-book) techniques grounded in montage theory seem easily applicable. As for dialogue, I don't think I can properly gauge how important it is, since I've only been reading VNs for a year or so, and most of the dialogue in VNs is, objectively, terrible on so many levels that it's hard to say exactly how important really well-written dialogue would be. But one thing I do think is that
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of no more than 30-35 words per comic-book panel is probably a good idea for VNs, too.