I can assure you that young children are way smarter that most give them credit. They can pattern match pretty quickly.

> "I wanted to see if that would work"

This seems advanced to me. Of course this could be a stock phrase copied from an adult. My 2 year old does this a lot and it makes her sound grown up. As an adult I use confirmation bias to say "yup she's smart".

2-year-olds are definitely capable of this kind of thinking. The ability to explain it and introspect is more rare.

Yes, she is precocious. The story I presented was a story; I explained to the best of my recollection what happened so that it may be used at a data point. Every situation is different and if the story helps someone, that is fantastic.

I'm more interested in how observers could be more helpful in these situations. When I see children out of control and an overwhelmed parent, I will sometimes try to help by de-escalating. In fact, I'm coming to think that we should learn as a culture how to talk to other people's children directly in a way that grows community and mutual respect. Children will often listen more intently to another parent (or, even better, especially a slightly older child).