The police want me to talk about a crime they think I committed. Should I comply?
If you believe that law enforcement is investigating a case against you, and that that investigation is ongoing, there is no circumstance under which you should speak with law enforcement. The fact that they are investigating the case indicates that they believe a crime has been committed and that you are the person that committed the crime. There is no benefit that can be incurred by speaking with law enforcement under these circumstances.