Whoa that is very different than my experience decades ago. Whether your lunch was free, discounted, or full price, that happened at the cashier. Everyone waited in the same line. Your experience is way too early to introduce kids to how bad capitalism. Let them dream!
Implementation of free and reduced-cost lunches varies considerably across the US states. In many places, it's discreet and private, but also in many places, the process is deliberately designed to 1. call attention to and shame people, and 2. make it difficult to use and easy to be denied.
And yes, you can probably easily guess which kinds of places focus on the cruelty, and which kinds of places focus on the helping.
Fuck every single adult involved in that kind of cruelty.
That being said- the bit of light in this story is the lunch ladies who went out of their ways to sneak us extra when it was available, even though I know they got in trouble for it. I managed to give one a hug once, and the strength she hugged me back, I knew she meant it. I have nothing but love and gratitude for those women.