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if the bike has an o2 sensor installed, it likely uses closed loop for low rpm operation.
keep in mind that this is a narrowband o2 sensor. so it's really just a discreet input. it's either rich, lean, or stoic. so you cannot use a narrow band o2 sensor to tune to any afr besides stoic.
since stoic isn't really optimal for any normal operation, this is a low rpm and low throttle position operation.
you can just bypass the o2 sensor by telling the ECU it's always stoic, and the ecu will use its open loop fuel tables and be totally fine (probably a bit rich)
for MOST of the operation of the engine, it will be operating in open loop using the standard fuel tables in the ecu, combined with map and iat inputs.
i cannot answer your question definitively, but i can't see any good reason for the computer to not tune in closed loop for idle operations at operating temperature.