On the other hand, I have gotten the comment several times from a cashier while buying milk, "wow, I've never seen anyone buy that much milk at once!"
How much milk do you need to buy to trigger that comment? One gallon. I drink that much in about two days. (This is several cartons; the largest carton you can buy is 1350 mL of milk.)
So I conclude that Chinese people expect to be able to buy milk, but regardless of that expectation, they actually buy almost zero milk.
The concept of lactose intolerance doesn't seem to be well known. I had someone react with horror when she asked what I was going to have for lunch and I said milk. She assured me that if I were to drink milk on an empty stomach, I would suffer from diarrhea. She was confused when I responded that that wouldn't happen to me because I'm white.