Oh, I doubt it. Dwarves are still plenty expendable if you're careful. However, since we are running a simulation of true communism, the introduction of original sin could pose new and interesting problems- probably not now, but later on, once Toady has done a few more releases.
What would be a major game-changer is dwarves going batshit if they're kept from fulfilling a life dream. And new forms of batshittery, too- dwarven mass murderers who decide, one day, to steal a crossbow from the fort armory and start shooting at random in the meeting hall; dwarves who get a revelation from God and turn your fort into Jonestown; dwarves who try to start revolutions, or refuse to participate in fortress life.
I was more talking about the idea of how being in a society is like wearing a mask. We all pretend to be something better than we are, but in truth, our personalities are much more extreme and repugnant. (Examples: Racism, Domestic Abuse, and Sexual Harrasment. Something we don't suspect about people, but is very frequent. And then people get freaked out when the truth comes out and remove him from office. Now imagine being able to see the truth of those things in every human being you meet.)
And the thing about the overseer and technically god of the fortress, is that you get to see beyond the mask. So someone unprepared for this could assume that the game and it's world are very dark, that there are no likable characters, and that it is too depressing. When in reality, the world and overall characters could be the same and even better than in the real world, but because you get to see them with their mask off, they just seem worse by comparison. And then one must learn to give forgiveness (to dwarves for their deeds) and mercy (not punish every crime) to have the best outcome.
This has nothing to do with original sin.