I don't know about your expenses but accuracy is a definte factor when using a line voltage thermostat. Depending on the model, you might get a vague idea what the temperature is. The bi-metalic strip is carrying the full load of the current, in your case, the 220 volt fan (depending on the size) would use less current than a 117 volt one, but whatever current is present, can throw the line voltage one off. Add to this, poor calibration, slow reaction and wide temperature swings are common so you might end up waiting or getting a larger power bill for whatever you use the fan for, cooler room for example.
If you want accuracy, get a electronic line-voltage thermostat (ELVT). In these units, a lightweight thermistor senses the temperature while semiconductors control current to the heater. ELVTs are more precise, better calibrated and have lower temperature swings (technically called hysteresis). These have greater accuracy, and the temp is reflected in the dial, which indicates temperature settings with actual numbers, and might be worth the cost for the possible extra comfort. Hope this helps.
I'm new and hopefully electrical forum will be shown after this post, since I'm in a few selected forums.