I agree. I would be filing this under "NMP" (Not my problem).
I'm sorry, we all make allowances in certain situations and what some of us will consider doing, others wouldn't and vice versa. But to provide an endless supply of food to a 5 year old who is paying pretty much half price, and to allow that level of disruption, I wouldn't do it. Even if Mom provided the food.
Like wise I wouldn't nap a child three times just because their parents would like it.
I wouldn't wear a child just because their parents would like it.
And so on.
No. No. No.
I'd use this as an excellent way to get rid of this client who is using a place and based on the business costs of him being there, effectively having you work for free.
"Dear <client>
Following you requirement that <child> needs feeding every time he states he's hungry which seems to be hourly, it is very apparent that I am not able to facilitate your changed requirements.
As per out contract, please consider this formal notice that I am not able to accommodate his new medical needs. Your final day of care will be <date>. Please note that fees are due during the notice period regardless of attendance.
I sincerely wish you and <child> all the very best with your new day care provider.
Many thanks
Provider