No, it is true.
You can have a white man with (naturally) blonde, brown, black or red hair. He can have extremely different facial features.
A Chinese man will always (unless he's old) have black hair and, because of the uniformity of China, it is usually in a similar style. Similarly, because they all have black hair, they share the same phenotypes for other characteristics, such as skin tones. White men have wide variations in this area too (i.e. red hair and freckles, or brown hair and no freckles).