If players want to power-through dialog and then miss story information, I can't solve that. I don't know that I want to solve that. It feels like fast forwarding though a movie, just watching the action scenes, and then complaining the plot didn't make any sense.
@grumpygamer Identify the best times to break the 4th wall and have a character address the player with whatever lack of politeness you deem appropriate.

@HardlyWorgen @grumpygamer The Secret of Monkey Island actually did something like that. If you tried to skip Cobb's sales pitch for Loom, he just gave you a different one instead.

(I do like how these games had dedicated keys for skipping lines or entire scenes. Some games skip lines with a simple click, and I've found that I often click by accident...)