Here is a fun fact about "don't talk to the police". The advice applies to everyone, even the police. The union regularly warns members about this. You cannot avoid answering questions as a police officer but if you're being compelled to talk without the presence of an attorney, there are limits on what the superiors can do with the statements.

So basically in case your superiors are planning to put criminal charges on you, you should ask if you are at liberty to not talk without an attorney present.

So remember when you hear the "don't talk to the police" line that even police officers don't talk to the police.