Basically, The open circuit potential of any electrode is independent of its area as it is an extensive property . Therefore, the thickness of the electrode disk will not affect the Open Circuit Voltage of a Battery. The unit is always in Volt.
I agree with Dr.Fakiha, but, the open circuit potential with long time stable as is indicator to form a thin film on the surface, so, I will say if you take 1cm2 and compared with 5cm2 is the time and /or film form in the same way ? I advise to achieve more experiments. Kindly, see attached file.
@Amruth, thicker electrodes will consume more electrolyte than thinner ones right? What if it forms a SEI/passivation layer on electrode surface when the battery is in aging condition ( we do wait for sometime before connecting it to circuit right?). If the resistance of the battery increases that time what will happen to OCV?
@Satish Bolloju - You are absolutely right! OCV tends to fluctuate until the added electrolyte penetrates the electrode and the interfaces are formed. That's why I mentioned reaching equilibrium in the answer.