I don’t remember snacking when I was a child, we ate three meals and it was rare if we were offered a cookie etc. If I was hungry after school for some reason... my mother would offer me an apple.
By the time I had children, most of the pediatric literature on raising children encouraged both mid-morning and mid-afternoon snacks. If I took my kids to a park or the playground with other mothers, everyone brought “snacks” to replenish the kids. Even if I only brought some water and slices of apples, my kids would beg me to let them have some of the snacks the other moms were offering.
I snacked a lot as a kid. My mother constantly made delicous cookies, cakes, and pies which I scarfed up with reckless (and joyful) abandon on a daily basis. I was skinnier than a thin shoestring. Because like all the other kids, I was outside every day running around and playing like the little barbarian I was. Today’s kids simply don’t exercise enough.
That's true for me too. If I was hungry, Grandma would offer me either an apple or some cherry tomatoes from the garden. If I said "I'm not hungry for an apple," she'd say "Then you're not hungry."