In Japanese, "Hake" means a brush to use when painting the lacquerware. "Hake-me" is a technique of lacquer paint which is leaving a trail of brush deliberately on the surface.
Since the trail of the brush is left, you can enjoy it as a unique pattern.
Even if it will be scratched on the vessel surface, its scratches are not noticeable, because of this technique's peculiarity. For this reason, it is often used to items of everyday use, such as place mats.