That's not what anyone means when they talk about cops lying though.
Cops can lie to suspects during questioning. They can say "your friend already confessed" or "we just got a call from the lab, your DNA matches" or "you're getting the death penalty unless you confess right now". As well as bullshit like https://en.wikipedia.org/wiki/Mr._Big_(police_procedure) (in some jurisdictions).
I'm fine with undercover cops lying about whether or not they're wearing a wire, or your scenario. I'm not so keen on uniformed cops lying to elicit confessions.
Cops can lie to suspects during questioning. They can say "your friend already confessed" or "we just got a call from the lab, your DNA matches" or "you're getting the death penalty unless you confess right now". As well as bullshit like https://en.wikipedia.org/wiki/Mr._Big_(police_procedure) (in some jurisdictions).
I'm fine with undercover cops lying about whether or not they're wearing a wire, or your scenario. I'm not so keen on uniformed cops lying to elicit confessions.