Not my experience at all. There's always a leader, and there's always a bully, and - if you're lucky - they are not the same kid. If you're unlucky, the whole group is a shitshow of gruesome sadism and "playing" that can lead to serious injury and death.
I mean, that's obviously anecdotal, but if children were so rational to invent things like human rights, why would we need caretakers and teachers?