@chronocide kind of sort of not really. Each cell follows a discharge voltage curve depending on its charge level, eg for Lithium-Ion the curve starts at around 4.2V, drops rapidly to 3.7V, then levels out for the majority of the charge. Near the end of the charge capacity, the voltage again starts dropping rapidly until the designed under-voltage level is reached. The general shape of the curve is purely a function of the chemical reaction that increases the cell’s internal resistance, so kind of yes ohm’s law applies here. BUT, because it’s a chemical reaction, there are other factors which can change the shape of the discharge voltage curve. The most significant external factor is temperature, but yes the number of charge cycles the cell has experienced is also a factor.

A common discharge curve for Lithium Ion cells: https://www.researchgate.net/profile/John-Hayes-49/publication/346515863/figure/fig3/AS:11431281080394644@1661279687891/Li-ion-battery-cell-discharge-curve-zone-classification.png