Interrupt to correct a tiny fact and you win the point but lose the conversation.

Correcting a small detail mid-sentence gets you the detail and costs you the person. They stop telling you the thing they were telling you and start defending themselves, and whatever they were about to say next never arrives. The fact you won was true and almost certainly not worth what it bought.

Let the small ones go, especially while somebody is still talking. If the detail genuinely matters, bring it up afterwards and quietly. Save interrupting for the moments when getting it wrong would actually change what someone does.