Ok, before you were talking about "grainier" simulations, I thought you meant computational shortcuts. But now you are talking about taking out laws of physics which you think are unimportant. Which is clever, but it is not so obvious that it would work.
It is not so easy to remove "quantum weirdness" because quantum is normal and lots of things depend on it. Like atoms not losing their energy to electromagnetic radiation. You want to patch that by making atoms indivisible and forget about the subatomic particles? Well, there goes chemistry, and electricity. Maybe you patch those also, but then we end up with a grab bag of brute facts about physics, unlike the world we experience, where if you know a bit about quantum mechanics, the periodic table of the elements actually makes sense. Transistors also depend on quantum, and if you patch that, and the engineering of the transistors depends on people understanding quantum mechanics. So now you need to patch things on the level of making sure inventors invent the same level of technology, and we are back to simulator-backed conspiracies.
If it's an ancestor simulation for the purposes of being an ancestor simulation, then it could well evaluate everything on a lazy basis, with the starting points being mental states.
It would go as far as it needed in resolving the world to determine what the next mental state ought to be. A chair can just be 'chair' with a link to its history so it doesn't generate inconsistencies.
You have a deep hierarchy of abstractions, and only go as deep as needed.
Jonathan Birch recently published an interesting critique of Bostrom's simulation argument. Here's the abstract:
The paper is behind a paywall, but I have uploaded it to my shared Dropbox folder, here.
EDIT: I emailed the author and am glad to see that he's decided to participate in the discussion below.