It's a bit of a stretch to believe that the Nintendo 64 developers on boxed cartridge software foresaw a day when someone would try to "cheat" using an emulator

It's a bit of a stretch to believe that the Nintendo 64 developers on boxed cartridge software foresaw a day when someone would try to "cheat" using an emulator and specifically coded against it. You can't use save states like this to play a live game on the original system. If there was a way to skillfully roll the dice, it would give a massive advantage to dice-practicers (in this particular game). The OP really objects to the illusion of agency. If his random number were generated seeded by the number of microseconds since the dice roll animation began, he would have no complaints. Even though the dice roll is just as random one way or the other.