Not sure why you're getting downvoted, because you're absolutely right. In fact, the parent's anecdote is just that: an anecdote. The reality of the matter however is that you should never, ever admit wrong-doing under any circumstances. Use the minimum amount of words for basic communication with the cop, be polite, and then deal with whatever ticket is written (either pay it or contest it in court).
I've seen the video, and know that overall its good advice.
I think though, depending on various factors, that playing 'nice' can definitely get you further than stonewalling the cop. It all depends what you (potentially) did, who you are (being a white, upper middle class male doesn't hurt), and what you think the worse-case scenario will be.
I definitely considered this. I was driving through the border of a traditionally black neighborhood and college campus. I'm a white male, and it was some frat party weekend on the campus and I got the sense he was looking to nail drunk students.
If I wasn't white, I think its highly possible things would have turned out differently.
Every encounter I've had with police so far (a few traffic stops, being caught dumpster diving, being in a few parks in Boston after midnight), I've found it just to be better to be nice. I've walked away from every situation so far with zero tickets, arrests, handcuffings, etc...
So? If you _know_ you've done something wrong, and you get caught, then you should own up and accept the consequences.
My experience is people have more respect for people who will admit to a mistake/wrong-doing than for someone who will try to weasel their way out of trouble.