This is a prime example of why you never answer questions like this from police. Give them nothing and they have nothing to twist against you. In a rigged system, the best option is to not play whenever possible.
As a matter of fact, it already has. I had a major police event earlier this year that came to be because I pulled my own car off the main road late at night because I have an old car and it was making a strange noise (and the main road had no shoulder). There was a cop hiding down this road and immediately approached me and then called for backup (for no reason) and 4 cars and 6 officers in total were there harassing me for almost an hour. Telling me first that I was drunk. Then telling me that I am a drug dealer there to meet someone. Then telling me that I was a drug user there instead to buy drugs. None of which was true. I even played nice and explained why I actually pulled off the main road in an attempt to expedite the stop. They didn't believe and once it became clear they were out to screw me over any way they could, I stopped talking. Then they asked me to perform sobriety tests, which I refused. They eventually let me go free and with no tickets (because it wasn't a traffic stop to begin with). If you're wondering why I refused the sobriety test - it's because I know those tests are used to justify the breathalyzer and other things like searches (which can lead to confiscation of property). I know this because I had a friend years ago who drank nothing, blew a .00 and was arrested because "if it's not alcohol, you must be on something else so we're taking you in to take your blood and have it tested". My friend got arrested, spent the night in jail, and then had to pay a lawyer to show up to court to have his case dismissed even though everything came back squeaky clean. They would have done the same with me.
Never give them an inch to work with. I'll take the $25 tickets in the meantime if that's the price of possibly avoiding major litigation at some point.