子 Zi (Tzu) means Master in Chinese Edit
In Chinese when you have a surname followed by 子 it also means master. 孙子 (Sun Tzu) means Master Sun. So Lang Zi means Master Wolf.
It's much more likely Lang Zi is based off of either Sun Zi or Kong Zi 孔子 (Confucious; Master Kong) rather than Laozi. The only connection to Lao Zi is the fact that he was also called master and is in the same category as "ancient philsopher whose writings have been preserved."
Moreover, the style of Lang Zi's quotations match Confucious' style of sayings in his book, The Analects, rather than the style in Lao Zi's book Dao De Jing (Tao Teh Ching) which is more like paragraphs.
The point of me saying this is for looking at the "Name Trivia" on the page.