I stand by my statements as well and then I'll be done.
1. If you separately purchase asset insurance from JD, then yes it will cover the asset; that is not what this topic is about.
2. As you state, JD financing insurance ends at the payoff of the loan whether it is paid through the term or paid off early, note, insurance terminates.
3. Why would insurance terminate just because the loan is paid off? Because it is a "mortgage insurance" and no longer needs to be in place. If it were asset coverage then it would have no relevance to the loan whether one existed or not.
4. Why is the coverage cost for this mortgage insurance so cheap? Because it covers the declining value of the loan not the asset. If you purchase a tractor and do 100% financing, the cost of insurance is higher than if you made a 50% down payment and financed the balance. Why? Because it is only insuring the loss of the loan.
5. Yes, you can purchase full coverage insurance through JD, it is a separate policy and continues beyond the life of the loan and is irrelivent to the amount or term of the loan because it is true asset insurance.
Don't be fooled and don't mix the two concepts or you take the risk not the insurer.