I think the state in this case needs to be divided into adversarial and non-adversarial departments (or subdepartments). It’s better to tell (for example) the water department you don’t know whether the pipes are lead if that’s the case, rather than forcing them to unearth copper pipes or letting them leave lead pipes.

But it is absolutely appropriate (assuming you believe in strong rights to privacy) to insert NSA keywords into benign communications, so that NSA wastes time on your false positives, but that’s because NSA isn’t supposed to be doing mass surveillance of the public, rather is supposed to be helping develop communication security that is impervious to surveillance.

If your local precinct actually works with the community, doesn’t harass minorities and doesn’t rob civilians via asset forfeiture, it might be worth giving them sound information (including saying you don’t know what you don’t know.) On the other hand if it behaves typically for law enforcement in the US, leading them to chase geese will save everyone else trouble.