If you don't want it to be on while unattended, then leave it off. If power goes out while no one's there, then you don't want it coming on anyway (since it would be unattended). If power goes out while someone is there, they can turn it on.Where im staying in South Africa we can go for prolonged periods of time without supply from the grid so i would also like to save my batteries and the equipment available to us is very expensive and the cheeper options isnt always very safe therefor i would not want it to be on unattended
This still doesn't answer the question of just why you think it will burn out the transformer if there isn't a load attached.