Again, this is solely about whether the person will think the story and writing are good. I don't think someone who seems to think it's downright bad would suddenly turn their opinion around because they were holding the controller, shot a few dudes and did some QTEs.
I totally get the idea of being immersed in the game, and that having an effect on your overall impression. I agree, for sure, but I don't think that has much to do with a person's opinion on the content of a story. They may come out of it still thinking the story was shit, but overall enjoying the experience they had with the game, but that's about it.