Hopefully this is not too off topic:
I think there are too many games that try to shove their story into your throat. Here are some examples:
(1) Too long of intro. We are not yet committed to your world or characters, do not info dump us yet.
(2) Too many/long cut scenes.
(3) Too much time in between combat opportunities. If your game goes 30 minutes without a fight, you are probably ramming dialogue.
In my very anecdotal opinion: I love when I earn story line. This can happen in several ways, including:
(1) I beat a boss and get a cut scene after.
(2) I walk into a town and instead of text dump, I have to explore the town to get that info about your world.
(3) I discover hidden areas and they reveal backstory to your world that is not necessary to the arc.
Generally you must interlace game play with story.
I do not think I have ever played into a game that had an AAA story with EEE game play though. For your poll, I took option [2]. I think to accept CCC game play, I would require AAA story. I cant imagine playing into DDD game play.
AAA game play. I would easily suffer EEE story.
I admit my scale is oddly jumpie. Because for BBB game play, I would require BBB story.