Under what circumstances are they called Lao Zhang, Lao Wang and Lao Li?

Hello, I'm glad to answer your question:

The interpretation of "Lao" in China's traditional etiquette is that the old characters are regarded as honorifics, such as Lao Zhang, Lao Wang and Lao Li, who represent this person's social status, and the old characters are regarded as the latter, such as Zhang Laowang, Lao Li and Lao Lao, who represent social status.