What shall be "H and OH dominant solution"? Even in my former microelectronics lab, we could never produce water so pure that both H+ and OH- were the most abundant ions. That would happen in pure water, something extremely difficult to obtain.
And: NaCl electrolysis uses to produce hypochlorite, or with precautions chlorine, not oxygen.
I can't tell how often Butler-Volmer applies, how extraordinary conditions are necessary, nor in which voltage range it has a chance to work. When I see voltages like kT/q, it just rings a bell about purities, offset of the zero-current voltage, and so on.