Hey,
there are 1,3,5 wire sensor that I am aware of...
and 4 wires
One wire is O2, ground through exhaust
Two wire is O2, GND
Three wire is O2, Heater ground through exhaust
Four wire is O2, GND, Heater, GND
Five wire is Wide Band O2 sensor - very different (both sorts)
You need to have a 3 or 4 wire sensor. The ECU will probably detect the absense of the heater current and  flag an error code (41). If it does then it will also default to open loop running all the time so the O2 sensor won't have any effect at all. You should be able to measure the voltage from the O2 sensor with a digital voltmeter once the sensor is up to temperature - the problem being that that might not happen at idle without a heater. Let me know if you get the error code up I was going to check this on mine.