Car appreciation... the aesthetics, the engineering, etc

Makes sense.

The only bikes with reverse I could think of are all quite pricey ones that didn't seem likely to use in a car.

Nope, no reverse on the Striker. The FuryRacer has an electric reverse involving a Fireblade starter motor, a machined ring gear on the end of the propshaft and some idler gears on a sliding shaft. Race regs require a working reverse, and asking the other half to run across the track to give you a wee push doesn't count.