Mini splits air conditioners (the one on the right) have some major advantages over central air.

With central air there's one big condenser and evaporator for the whole house and dampers are used to block the chilled/heated air to zones that aren't requesting for air. Since all the zones share the same air source, the more zones that need heated/cooled the slower it'll take. This system also prevents one zone from requesting heating while another requests cooling as the system can only do one at a time.

Now with mini splits each zone gets it's own condenser and evaporator meaning each zone is free to heat/cool to each zones needs and airflow isn't effected by other zones. The biggest reason why mini splits are better though is because if there is an issue you'll only lose one zone instead of the entire HVAC as you would with a central unit.