Here's why:
* No in-game feature: FireRed doesn't have a system to track how many times you've beaten the Elite Four.
* Post-game content: The game is designed to be completed after beating the Elite Four and becoming the Champion. There are some post-game activities (like catching legendary Pokémon), but no additional content for repeatedly beating the Elite Four.
In summary: While it's a fun challenge, there's no in-game benefit to beating the Elite Four multiple times in FireRed.