I think you fell for some marketing ad a long time ago, an oil filled radiant heater is still just a convective heater heating the air through a radiator, and you are getting infrared radiation mixed up with a radiant heater. Thermal capacity is just how much energy it takes to change the temperature of a material, not how much radiation it gives off, and either way metal is good at blocking/reflecting radiation so having something inside that produces radiation wouldn't make sense...unless that radiation was used to heat oil, which would then use convection/conduction to heat the metal radiator...but why would it be designed like a radiator if it wasn't meant to allow air to flow through it and maximize heat transfer for convection, interesting!
If you were looking for an infrared heater that uses radiation to warm you something like this would do the trick otherwise something shaped like an oil radiator would just spew radiation in every direction and be very inefficient and heating you up, and would just transfer to the walls...
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