student of China 则更多是研究中国的学者,Chinese student 可以是“中国学生”,也可以是“学中文的学生”。
... he was... a strong-enough German student that he regularly traveled to Hunter College in New York City to take a high-level class. (The New York Times, Sept. 30, 2007)…他是个出色的德语学生,甚至经常前往纽约市的亨特学院去听高级班的课。