If you take your child to a daycare that provides meals, have you been successful in having them give your lo something different than what they provide?

I like our daycare but I worry for the day M starts eating the foods they provide. I'm considering asking them to substitute some items, as long as I bring them from home. Example: I would bring cheerios instead of having them give her Corn Pops.

Has anyone had luck with something like this? The daycare rules state no outside food but I am hoping to work around this.... Also, I currently bring in all of her food since she is eating purees and small bites. I'm hoping that means there is wiggle room there.