Home policy will likely cover parts - has for me - but not vehicles.
Classic/collector insurance almost always requires the vehicle(s) being garaged.
I've had cars sit for a year or so, but since I'm no good at predicting a storm/fallen tree/fire/etc, they're always insured (Hagerty, for several years now).
One minor thing can cost much more than the "savings".
A buddy of mine pulls the collision & liability on his cars that spend winters indoors, but I think he has everything on a State Farm policy.