This might be true in the US but in some other countries the police aren't allowed to lie.
Canada: Yes
Australia: Yes
UK: looks like cant lie about evidence?
If the police are allowed to lie about evidence then this undermines the suspects chances for a fair trial (false confession). If the defense can show at a trial that the police lied during the interrogation, this would impact the chance for a conviction. At least this is how it works in the EU. In the US, I have the impression the judges don't take this into account.