Why are law firms called directors? Are most of them private?

The concept of public and private is actually a bit vague.

At present, there are three main forms of law firms: partnership, cooperative system and individual law firms.

There is no doubt that partnerships and individuals are of course private.

But is the cooperative office public or private? It's hard to say. Because cooperatives are equivalent to collective ownership in those years, they are also taxed according to collectively owned enterprises, but their property rights are unclear in essence. Because it means that all the property of a cooperative law firm belongs to all lawyers of the law firm, no matter whether they have worked in the firm for one year or thirty years, they enjoy the same rights and obligations in law. Politically, it is public. But it's actually personal.