Couple of minor corrections.
First, dear god, but do the rules on minimal coverage vary from state to state. And some states that you expect would have reasonably high requirements utterly fail to do so. My biggest bitch historically was policies I wrote for California, where the minimal requirements were 15k per person, to a maximum of 30k per accident for Bodily injury liability, and a pathetic 5k (!!!) for damage to another person’s property. That was terrible 10ish years ago when I was selling P&C policies and it’s worse NOW.
And that leaves out the various flavors of no fault states that are generally a good idea, but not always well implemented, where each person’s coverage pays for them regardless of fault.
Second, damage to the owner’s vehicle is split in most states between Collision (COLL) which is pretty much any impact with another vehicle or object (other than animals) and Comprehensive (COMP), which is collisions with animals and generally all the other ways your vehicle can get damaged that don’t involve an impact. Now, all the BS mentioned in the OP is going to be a COLL claim, but they are distinct coverages. Of them, I always advised dropping the Deductible on COMP because it’s normally the cheaper of the two, and more likely to happen (hail damage, cracked windshields, etc).
Third, Deductibles - in the US they’re your Co-pay or co-insurance, the amount of damage you are responsible for before the insurance is required to pay, or the amount deducted from a total loss settlement to you. A related issue, is Actual-Cash-Value, which is how 95+% of claims are settled, where your final payout/determination of a total loss is based on the value of the car at the time of the loss based on pre-damage condition, age, and milage, which brings me back to my concerns for Gap/payoff coverage.
On to the other points, various states have different notification requirements, and they all tend to work in a pretty delayed manner. One semi-common exception is what is known as a SR-22 filing. Such filings are often required in the case of someone getting a license back after a license suspension, accident without insurance, or severe driving violation. In that, their continued license is contingent upon the insurer keeping that filing on record with the state, and failing to do so usually results in very quick re-suspension of license and driving rights.
Also to be noted, @LSLGuy (who knows a lot for a layperson, don’t get me wrong!) is semi-incorrect about the notification of the lienholder, but it rarely matters. For most carriers, if coverage goes past delinquent on payment, or is otherwise cancelled, they will notify the lienholder… but it’s traditionally as an automated letter to the address on file for said carrier. Which means a LOT of options for it to not be received, misfield, failure to scan in, and plenty of time between the cancellation, the letter, the processing, and the lienholder having the people and time on THEIR end to start contacting the purchaser, threatening to put their own (COMP and COLL only) coverage on the vehicle and adding it to the lease (very expensive).
In other words, it’s complicated!
In general (huge variations over the companies), if your vehicle was reported missing/stolen in a timely manner and it’s a non-custodial theft, then if the coverage was still in effect at the time of the thief causing the loss, then (IN GENERAL AGAIN) the carrier will pay for the damages to the car under COMP (theft being proximate cause of the loss). Depending on the optics, they may make an exception to chose to pay liability, but it’s almost never going to happen. To a degree (jurisdictions) Liability follows the DRIVER, not the vehicle, which is why if you’re driving a legally rented vehicle, your liability transfers to the rental car (not the COMP or COLL). So parties hurt by the thief may try to recover from THEIR insurance (if the thief has any) UM/UIM/UPD (uninsured motorist, underinsured motorist, uninsured motorist property damage), COMP/COLL, etc depending on state and their coverage.
And then sue the thief, and yes, if there’s provable negligence a case can be made against the owner but probably not the insurance company.
Last note - custodial theft was a semi-significant source of loss and fraud investigations for my company back in the day. Car gets taken by a household member (family or not), often explicitly excluded from coverage under the policy, and then gets involved in an accident. Policy holder then claims after the fact that said person “stole” the vehicle, used it without permission, etc etc etc. To which our first response was similar to @Mama_Zappa - that’s pretty serious negligence. But okay… did you report the car as stolen? Mumbled no. Have you turned your son (or boyfriend/girlfriend/roomate) into the cops for Grand Theft? Mumbled no.
Uh-huh. IF not withdrawn, most of those claims get serious fraud investigation prior to payout, and if there’s evidence of permissive driving prior to or during the incident, they get denied, cancelled, and reported as fraud risks.
