The legal defintion of “lie” is very narrow when applied to a government actor.
On paper, an ex parte process (where only one side appears before the court) requires the participant to use more candor and less guile that would be used in an adversarial process, like a trial. But all warrants are ex parte, andcops, FBI, etc. will follow the pattern that they know works. It is uncommon for a wronged person to figure it out, and even more uncommon for them to have the means and will to fight back.
The system is highly rigged against the public. All the pros in the system know this, even (maybe especially) the defense lawyers.
At any rate, it is naive to expect honesty here.
My attitude has been anything but expectant of honesty ... but I've sure gotten a lot of pushback on it.