Option 1: Tell them you did it to waste their time. Outcome: You've wasted their time, and you caught a charge for wasting police time, obstruction, or whatever it is they call it there for your trouble.

Option 2: Plead ignorance. Outcome: You've wasted exactly the same amount of their time, plus you lied to the police, and you've faced no consequences for it.

Picking option 1 isn't brave, it's just stupid.