The vast majority of _Western_ music doesn't need it, but microtonal music is extremely important in a number of Asian, Middle Eastern, African, and even Eastern European systems.
Continuing to use the status quo notation would hardly constitute driving the bus off a cliff. And the cases of microtonality are not that edge. Beyond allowing interoprability among musicians from different cultures, western notation has been critical to most (and there's a lot of it) western microtonal music.