Legal analysis: No, the legal person here is the legal representative. If the gym closes down, the legal representative is not at fault and does not need to bear the responsibility. If the legal representative is at fault, he needs to bear civil liability for compensation, but he will not be sentenced to punishment.

Legal basis: Article 3 of People's Republic of China (PRC) Company Law is an enterprise legal person with independent legal person property and legal person property rights. The company is liable for its debts with all its property. Shareholders of a limited liability company shall be liable to the company to the extent of their subscribed capital contribution; Shareholders of a joint stock limited company shall be liable to the company to the extent of the shares subscribed by them.