Yeah, I'm not worried about my kid saying things that will get him in trouble. However... he repeats literally everything that he hears, sometimes verbatim. Sometimes hours or days layer. To be honest, it's really creepy at times. Plus, he doesn't really have a filter, so he'll talk about everything he sees at school or on the playground, just chattering about all day to himself.
So I'm worried about my kid saying things that could get other people into trouble.
A common anecdote from East Germany is that teachers would ask children what the "sandman" looks like (an evening TV show for children). The seemingly harmless answer then revealed whether their parents secretly watched imperialist West-German television. So yeah, children are pretty good at implicating other people.
I remember when being a kid in school, the police were by for a visit to educate on alcohol responsibility, and touching on ethanol/methanol dangers since moonshine was a thing, they showed a distiller (which "if clearly meant for distilling spirits" is illegal to own), and some kid blurted out "my dad has one of those!" immediately when seeing it.
The teacher tried to claim "teacher-parent confidentiality" when asked to identify the kid/parents as if that's a thing, but I don't think they took it seriously enough to warrant further action.
This was common in all Eastern Bloc countries. In Poland under Russian occupation UB/SB https://en.wikipedia.org/wiki/Służba_Bezpieczeństwa "secret police responsible for internal and external intelligence and counterintelligence to fight underground movements and the influence of the Catholic Church" would send its agents to schools to befriend children and try to get them to rat on the parents.
So I'm worried about my kid saying things that could get other people into trouble.