Tell us a bit about your setup so I can give you some better insight.
The O2 sensor simply tries to target 14.7:1 and the way the narrowband works is it simply oscillates back and forth past 14.7. So Rich, Lean, Rich, Lean, like that with 14.7:1 being in the middle of that swing.
The stock ECU cannot understand a wideband signal. Leaving the O2 sensor in one bank is just fine.