The appearance of shiny Pokémon is determined by a random chance encounter. Turning the game system off and on does not change the random number generator that determines which Pokémon appear shiny.
Here's why:
* Random Encounter System: Pokémon Emerald uses a random encounter system, which means the game generates a random number every time you encounter a Pokémon. This number determines if the Pokémon will be a shiny or not.
* Game Saves: Saving and loading the game does not change the random number generator. The game saves the state of the encounter system but does not change the underlying odds of encountering a shiny Pokémon.
In short, turning off the game system won't make shinies appear more or less frequently. Keep searching, and good luck finding those shiny Pokémon!