I have found that being well mannered works like nothing else. I haven’t been pulled over that often but ended up with warnings each time.
My very first ticket was as a stupid kid. 90 mph in a 55 up in the flat country. Cop said “You’re the fastest one I’ve had all day!” I replied - “I don’t suppose I get a free ticket to the Policeman’s Ball?” He laughed, and wrote me out a ticket. Nice enough the entire time though.
The Judge was the one making snide comments when he took my license (provisional) away for 6 months.
I was just glad he had caught me after I had slowed down after passing a car! (Stupid kids!)
I agree. But trying to lie even while being respectful, does not usually work out well, unless you are blonde and have a nice rack.