While you wait for fresh answers from qualified experts, you may be interested in some past responses to similar topics.
Tradition (or lack thereof) of Cheese in East Asia with a detailed response by /u/keyilan about why dairy and cheese may not have been popular in east Asia.
Why has China had domesticated cattle/sheep/goats for a long time, and while Mongolians utilized dairy in their food we see almost no dairy in Chinese cuisine at all? with a response by /u/wotan_weevil exploring why certain regions in China may not have incorporated dairy in their cuisine.
Why has the Asian culture never used cheese in any of their dishes? with a detailed response by /u/y_sengaku about Asian dishes that did utilize dairy and cheese.