No, no, no. It doesn't matter whether lying to an LEO is a crime or not!! The mere act of lying to them will be used in court to impeach your story, and your testimony should you testify (which is one reason you wouldn't).

You almost certainly won't be allowed to impeach the LEO's testimony based on their lies to you or other subterfuge: it's essentially a given that they can do that as part of their investigations, and the court and jury will be very deferential to them and not to the defendant.