Do not take this advice. Talk to a lawyer.
If you have an alibi, you can tell your alibi to a lawyer, and your lawyer can communicate your alibi to the police before you go to trial. You won't be wasting anyone's time, you'll just be giving the police the same evidence through someone who is trained to talk to police officers, and isn't going to accidentally say something that's misinterpreted or twisted to turn your life into a nightmare.
If you are being suspected of a crime, it doesn't matter if you're innocent -- the police are not your friends.