This type of iron maybe of an old style technology for fixed temp irons using a metal strip thermocouple in the handle, preadjusted for the iron's tip, ~ 700F. Its simply a temperature sensitive on/off switch directly attached to line voltage and a resistive heating element almost like you'd find in clothes dryers of old.
Theoretically, if you attach it to a low cost station with a rheostat or triac as a variable output voltage source or adjustable duty cycle, it should reduce the temp output accordingly, but at an unknown temperature, you'll have to wing it. At low settings, the iron will be underpowered, so the thermocouple is always closed, in a futile attempt to heat up the iron. Also, there is no feedback from this too, so if the tip is cool or too hot from various heat loads, the station output will not compensate, you'd have to do that by hand.
Without the station, there is feedback, as the tip cools from soldering the thermocouple will close to allow the tip to heat up, and it opens to limit the maximum tip temp.
The difference between this old style temp control and the soldering stations is the speed of the response to temperature changes, the tightness of the feedback loop, and lower operating voltage; the plug in wall irons run at line voltage.
Low cost as it is, its very likely using a resistive heating element, in which case the output power is reduced with reduced volts or duty cycle.