They do not give any recognition for passing the PE or PLS exams.
Patent law falls into three broad categories.
First, there is enforcement of patent rights, which is a matter of federal law litigation. Any attorney who is admitted to practice federal law could do this work. Second, there is wrangling over invention and patent ownership, which is a matter of state law. Any attorney who is admitted to practice state law could do this work. Third, there is prosecution of patents, which includes writing the application for a patent, counseling the inventor, and acting as the inventor's agent to push the application through the system.