The Asian population is not big enough for two asian-oriented supermarkets.
Plus, Fairway is good enough and since 1960s. It is pretty powerful on the island. It just doesn't make sense strategic-wise for TNT to compete. Similar idea to why Fairway doesn't have a store in Vancouver, although they tried before and failed.
TNT is acquired by Loblaw now. Going on the same path as Thrifty Foods.