A friend of mine had a picky eating toddler. (She would eat cold cheese, her mom's homemade steak fingers and various veggies/fruits. Everything else was a failure. And she drank water. Not juice, certainly not milk, water.)
The pediatrician told her mom to give her only milk to drink, and not to let her have her three foods, and eventually she'd get hungry enough to eat and drink what she was offered. Kiddo never fussed, never fought, just refused the offered foods and drinks. And as far as they can tell, went hungry for quite awhile. Everytime my friend would get freaked and call the doctor to say her daughter still wasn't eating he would insist she not give in and let the toddler "win". (yes, common sense would say the doctor is full of it. But my friend was a young mom and she believed in the doctor.)
Mom (and doc) lost. Big time. The kiddo dehydrated herself pretty badly. So Friend gave up, got a new pediatrician and figured she'd just make steak fingers forever. Of course her toddler then decided she loved EVERYTHING except eggs within four months of her hospital visit. My friend told me she was afraid to have more kids because she didn't want another picky eater.(I assume she was joking) She has five kids in all now, and the younger four seem to be human vacuum cleaners, they eat and eat and eat! And anything on an adult's plate is far better than their own food.
Oldest kiddo still won't drink anything except water though. She's kinda a weird kid. She doesn't like most deserts, except cheesecake, but loves spicy foods and anything vaguely asian. And veggies of any sort, she saw me eat an entire can of collard greens once and I'm informed I "ruined" her because that's now her favorite after school snack.
@Elfmama and Lady Snowdon: I love canned greens of any sort with vinegar. But it has to be that "peppered vinegar" So yummy.