One could argue that the interesting parts of simulation require higher precision. When you are in stable conditions, that's where your intuition might be suffi

One could argue that the interesting parts of simulation require higher precision. When you are in stable conditions, that's where your intuition might be sufficient already; once you hit those ugly parts then you start requiring as high precision as you can get to have any correlation with reality. Even a simple solar system simulation through gravity interactions has significant drifts in FP64.