As a landlord you have special needs for an insurance policy. First and foremost you want to make sure to have the home insured properly so that if you do need to file a claim, we can mediate the damage quickly to get your renter back in quickly. Not having the home habitable and rented out means no income for you. Our landlord policies provide for "loss of rents" coverage if this does happen to you due to a covered loss. There is too a small amount of coverage for your belongings for anything you may have a the rental that does belong to you. Liability is certainly on every landlord policy and we highly advise you to get an Umbrella policy to be on the safe side.
There is no necessity on your part but we do advise you up front and on subsequent communications, it is also in your best interest to make certain that the renter carries a renters insurance policy to protect their belongings as well as their own liability. Having this conversation up front greatly avoids any misinterpretation regarding what is covered for the renter and what is not. Your landlord policy has zero coverage for the renter whether their belongings or their liability.