True, many real officers can't quote the tiny bit of motor vehicle code that pertains to cyclists. I had a pretty good hunch from the way she said she was "with" them, that she was being evasive for a good reason. I've heard similar lines from people who are tangentially involved with the police, but know enough not to directly claim that they're an officer.
I did have one motorist (for nearly the exact same reason) tell me directly that she was a police officer, and she was wearing hospital scrubs. I started grinning immediately, and before I could ask "hospital police?," she said (corrected?) that her husband was a cop, then went into a rant that made it clear she was unhinged and really agitated.
The scary thing is, I think she actually did work in the healthcare field.