No, because there are different wearout mechanism at play.
Charging and discharging cause mechanical strain in the structure of the battery which damages the electrodes and separator. But independent of this in a lithium cell, the voltage across the electrolyte causes damage through electrolysis, so maintaining a high charge state damages the cell by itself. Supercapacitors have this problem also while lead-acid, NiCd, and NiMH cells do not beyond electrolysis of water which is reversible.