If the Renix does not have somekind of a preset fuel map, how does it start, and how does it run (idle at least) with out TPS and O2 sensor attached? I have started and idled the Renix with out the O2 sensor and TPS sensor attached.
A resistor will not work on OBD I or II to replace the O2 sensor because the O2 sensor produces a voltage when it is working, it is not a resistor, but it can be used in series to lower the voltage output to the computer thus changing the computers perception of the A/F ratio (making it think it is running leaner and forcing the computer to run it richer) But you need the right Ohm rating, low enough to work and not so high that the computer decides to ignor the O2 sensor, and not to high so that you burn up the engine. It will not make it run leaner, only richer (I am pretty sure).
I would think the Renix would see a fixed resistor for what is, fixed, and ignor it when it did not see the resitance change with changes in the A/F mix, just like it would ignor a bad O2 sensor that started displaying a fixed or off resistance.
However the right size (ohms) resistor in parallel or series with the renix O2 sensor ( which is a variable resistor) might be used to change the preset computer A/F ratio!
Not sure which direction the A/F ratio moves on the Renix, but adding a small, say 1 to 10 ohm resistor to the ground leg of the Renix sensor should shift the A/F ratio a bit too. If the Renix follows the same direction as OBD-I and II, namely that lower voltage means it thinks it is running leaner, thus forcing the computer to run it richer, a small resistor in parallel might shift it the other way, making it think it is running richer and forcing it to run leaner.