Does OH with an unpaired orbit at O exist? What is fuel cell limited by? A piece of optical (fiber) glass barrier that separates the reactants; not using water as a medium at all.
Hey, alkaline battery has already been invented.
But the concern for H2O+ was not considered. Nor the fact that OH is used up in the anode in the production of O2 but produced at the cathode when H2 is released. So, OH at the anode is moved to the cathode as the process progresses. And of course, H2O is consumed.
OH produced at the cathode need to be moved back to the anode. OH is not charged.
For an alkaline battery, O produced at the anode oxidizes Zn to ZnO, instead being released as a gas. The electrons produced are driven into an external circuitry and return to the cathode from outside. At the cathode, H2O+ reduces MnO2 to Mn2O3 with the production of OH. The charge carried by H2O+ is neutralized by the electrons returning to the cathode.
So the production/movement of OH influence voltage regulation. The voltage of the battery drops as OH accumulates at the cathode and depletes at the anode leading to an electron production drop at the anode.
And the internal resistance of the battery is dictated by the movement of H2O+ produced at the anode, that moves to the cathode.
In a Li ion battery, the positive charge carrier is in part replaced by LiH+. This reduces the internal resistance and voltage regulation as LiH+ is lighter than H2O+ and migrate quickly from the anode.
The role of OH seem to be replaced with SO from SO2 and a list of heavy electrolytes in many batteries. The accumulation of OH and its equivalent at the cathode and their depletion at the anode is worst with heavy electrolyte. Diffusion is the only mechanism by which these reactants redistributes. Since the battery is initiated by oxidation at the anode first, OH depletion at the anode is the main reason battery go dead. They are also the reason many types of batteries are limited to low current applications.
Still the existence of OH is unproven, but batteries drop dead all over the place.