There's a big difference in when you break silence though. Strategically, much better to keep it until all the facts are known to your side. At the start, the police/government have the informational advantage. In other countries, even delaying (but eventually speaking) can allow a negative inference to be drawn. The right to silence is important even if you eventually speak.

The correct way to interact with the American legal system is never to talk at all unless you have a written immunity deal. Kids should learn to say "no questions/searches" and "slide the warrant under the door" from their parents.