I had 2 SA sisters who refused milk. My FP rep caught me giving them just water one day. Oops. She said all I have to do is give enough in a cup to cover the bottom. If they drink that, offer more.
For as long as I had them, they refused adamantly. I guess I don't see the point in pushing milk so hard. As long as it's not getting substituted with sugary drinks. Milk isn't 'all that'. I now have a 17 mo who started refusing milk at around a year when she dropped the bottle. I offer her drops of milk from a big cup and who knows how much she actually takes in because a lot of dribble happens. Lol It's all I can do.