Maxperson
Morkus from Orkus
I don't agree with that.That is very much untrue. The reason you show your work on a math exam is because the answer is largely irrelevant. The point of the exam is to prove that you know the process for achieving that answer. The fact that your answer happened to be right could easily be a lucky guess. This is a problem teachers run into all the time when dealing with students and parents who completely misunderstand the point of testing. It's really frustrating.
Now, I agree that the narration does the simulative work. Totally agree. But, since your simulation isn't actually a simulation (you cannot show your work), then your system isn't a simulation. It's just a series of "the DM makes stuff up". Your "reasonably" is doing a lot of heavy lifting there.
Basically, a simulationist system that provides no actual process information is just Calvinball. It's "cops and robbers" with a thin layer of paint.
And, to prove this, I would point to every single actual simulationist leaning system out there - GURPS, Warhammer Fantasy, Palladium systems, Role Master - which tell me that you are wrong. If it was perfectly fine for simulationist systems to not inform the narrative, why does every single sim system in existence disagree with you?
When I was in school, I never, ever showed my work. I have a mental chalkboard where I can stick numbers until I need them, so I just did the process there and put the correct answer on the test. Not once did I ever receive a talking to by the teacher about showing my work so that they knew I got the process right. Being math teachers, they understood the probability of my guessing that many correct answers in a row and didn't bother asking to see my work.
Once in a while I did get talked to by a teacher about showing my work, because they thought I needed to get in the habit of it for higher math where it would be harder for me. They were right. Intermediate algebra is where I started having trouble.
D&D is like that. If we can reproduce the correct answer 100 times in a row, we don't need to show the work in order for people to understand that there isn't any guesswork going on.