It is an interesting question, should one circulate the air? In the main oil filled radiators are smaller than fan heaters in output, and using a bar heater we are using at least some inferred, so hard to really compare.
However I have really been surprised as temperature differences within a room. I remember out first house, single glazed, with picture windows front and rear, closing the curtains made a huge difference, but the hot air central heating moved the air around the room, so all the room at same temperature, latter houses in same estate had hot water and you could feel it was colder standing by the windows.
Since I don't tend to stand by the window, having a cold area by the window does not worry me, and it means heating is costing me less. At the moment heating is not on, but the two TRV heads in the living room are still reporting
at moment only 1ºC between them, but when heating is running seen 5ºC, both under windows, at 90º to each other, room above (this room) showing 22ºC at moment, next to PC, but 18ºC on windowsill, and 12ºC outside. Only fan in room is the one in the PC.
Last house we had a Myson fan assisted radiator, and the fan was thermostatically controlled, we would feel it getting cold before the fan kicked in, where in this house we don't know if radiator hot or cold, not some thing you go around feeling, and they store the energy to some extent so even when boiler not running they are still giving out heat, as although boiler is either zero or 19 kW output, the radiators damp that output so less hysteresis in the room.
If the fan heater continued to blow when up to temperature even if at a lower rate, it would detect the changes in room temperature quicker, but because the fan stops, it causes a higher hysteresis.
The new Myson iVector has a 5 speed fan, and the speed is changed depending on how far below target the incoming air is, but not seen this with electrically heated fan heaters.
Since the oil filled radiator is only around 750 watt and safe to use unattended one can use smart sockets adaptors to switch on and off, but having seen a fire caused by a fan heater which was knocked over so the thermal fuse was below the element so did not rupture, would not leave a fan heater running unattended.