Advantage of static import what I felt is over Constant Interface Pattern.
Generally we use interfaces for constant and it is implemented by all classes but if you are developing an API, it is something like you are exposing your implementation details. Above wiki link explains very well.
But use of static imports avoid this and provide very good solution to constant interface Anti-Pattern. Instead of constant interface pattern I would create a final class, create public static constants in that class, and do static import wherever Constants needed.
