I did not follow the link, but I agree. It is not a crime for the police to lie to you, but it is a crime for you to lie to the police. This discrepancy in the basic ground rules of interaction with authorities leaves each of us at a serious disadvantage in any conversation we might have with them.
Keep your mouth shut. Then, eventually, if you think you should talk, don't. Then, shut up.
Also, welcome to the 21st century, where agents of the state are probably your enemies. Brave and new, this world seems.
Mark