I am not quite sure what you are asking here, so I will try and answer two questions.
First, renters insurance will not cover any direct physical damage to an above ground pool caused by the common perils.
Second, it will cover physical damage to the pool caused by your negligence. An example of this could be you leave numerous pressurized containers in your rented space, which, due to the summer heat, explode and damage the pool.
So, no all perils damage, but you can get coverage for your negligence.
First, renters insurance will not cover any direct physical damage to an above ground pool caused by the common perils.
Second, it will cover physical damage to the pool caused by your negligence. An example of this could be you leave numerous pressurized containers in your rented space, which, due to the summer heat, explode and damage the pool.
So, no all perils damage, but you can get coverage for your negligence.