Quoted: Oil filled heaters are radiant heat, so they won't provide instant heat, but they provide a heat that radiates warms object in a way similar to the sun
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Um...no, they aren't, and no, they don't.
Oil-filled heaters produce convective heat, just like most ceramic-block and "milkhouse" heaters. They don't produce radiant heat like parabolic or quartz heaters (or the sun), but instead merely warm up the air around them.
The oil provides extra thermal mass, which slows down the heating and cooling process as the thermostat cycles on and off. Other than that, they are no different from every other convection heater.
BTW, all electric heaters are equally efficient at producing heat. Every watt of electrical power produces exactly the same amount of heat, regardless of the design of the heater. However, some heaters are better than others at directing the heat into the occupied parts of the room, rather than allowing it to rise to the ceiling.