The answer is yes, this fake institution itself is also operating this business. Even if what you have is true, it is also false to you, because you didn't buy it from them. Just like the shoe appraiser, he sells it himself. As long as yours is not bought from them, it is true or false to you.
This kind of appraisal agency has nothing to do with his business procedures. Just because the formalities are complete doesn't mean they will have a conscience appraisal! Therefore, it is more secure to buy jewelry or go to an old jewelry store!