Oil radiators are known to retain heat even after being switched off. This means that they can continue to provide heat/warmth without using additional energy. However, the heat up time may be longer compared to other types of heaters, which questions its energy efficiency.
Many oil radiators are equipped with a thermostat and temperature control features such as a main system or dial. This allows users to set the desired temperature which can be more energy efficient than guessing the temperature.
Most modern radiators come with safety features such as overheat protection and switches. This improves energy efficiency by preventing wasteful energy consumption in case of malfunctions.