YANBU.
DD occasionally tells me that she isn't hungry. Unfortunately it is tough, she has to eat breakfast before school.
Our routine is:
6.45am - up
6.45-7am - laze around/wake up (DD, Im normally in the kitchen doing lunch/putting a wash load in)
7-7.15 - breakfast made argued over
7.15-7.35 - breakfast eaten
7.35-8.15 am - washed and dressed for school
8.30 - leave house.
Looks so easy written down and like it's lots of time, but it is always hectic. If DD is on a 'I'm not eating' morning then I make her get dressed when she would normally eat breakfast. This tends to wake her up enough to jump start her appetite.
I have, in the past, done the school run while she munched on a banana and one time a packet of crisps! This was a one off and during my MH problems, I have always been obsessed with her getting a decent brekkie otherwise.
When we are running late, which happens occasionally, I will go without breakfast but always make sure she has it.
There is no reason IMO (with the exception for illness/MH problems/and separately, those children suffering neglect) for a parent to not provide a child with food.