I bought an SV a month ago. The manual's description of the active noise cancellation includes the caveat "(if so equipped)", implying that not all models have it. I have a subwoofer in my temporary spare I'd like to get rid of it's not being used (letting me flip the tire over I can check the pressure without having to take it out).

Look underneath the driver's seat. If you see this ANC Unit, then it has it (view with the seat removed):

I see a black plastic box with a grating on top. Nothing but its position screams out ANC Unit.

There won't be anything that screams, but anything in that spot will be an ANC. On a non-ANC model that spot will be vacant.