I have Hagerty ins.
I told them it would see the track a couple times a year. As usual they ask about how many miles a year you would be driving it, How much replacement value you would need, They ask for pictures of exterior, interior, engine compartment, and trunk area. They ask what extras you might have on the car that would be of value for coverage purposes. You pay once a year and your covered. My policy comes with alot of little extras that I think are nice like, Gauranteed flat bed towing, Money for repairs while away on a cruise, They pay 100% of your covered amount if you tottal your car with no ins adjuster estimating the value of your car. There are more perks, I just don't have my policy in front of me,,,, it's out in the car sitting in the Garage!
BTW: Mine is also registered Historic Vehicle, but in Ohio. I don't recal that being a topic of discussion though with Hagerty... Could have been, I just dont remember it being.