Maybe easier integration with existing C libraries?
They give an example of a tetris clone in Zig. This is how they include GLFW with Zig: https://github.com/andrewrk/tetris/blob/master/src/c.zig and all other locations in the project just import this c.zig file.
In contrast in Rust, I think you have to actually declare all the functions you want to use from a C library. For example: https://github.com/PistonDevelopers/glfw-rs/blob/master/src/....