At that point, I had the right to remain silent … but not the ability. Ron White
~45 minutes of video of a defense lawyer and a cop explaining why anyone in the US should never, never, never talk to the police. I assume this is in the context of being a possible suspect rather than a witness, but I am not a lawyer.
Bottom line: even if you are innocent, anything you say can be used against you — in ways you might not be able to see. One pitfall: there are literally thousands of laws of which you might be guilty, and to which you might inadvertently confess, in making a statement. I’ve also been told by a lawyer that you should not invite the police into your residence, for the same reason.