Have you heard the statistic that kids need to try a food something like sixteen zillion times before they will actually want to eat it? (OK, it's more like 15-20, but sometimes 15-20 feels an awful lot like sixteen zillion, am I right?) And when it takes so long to get your kiddos to eat a carrot, why would you want to start all over with broccoli?
I hear you. I've been there. And that's why you should burn your vegetables when cooking them.