Li-poiy battery charge hold over time
Chargers usually do a constant current phase and then a constant voltage phase, and stop when the current to maintain the target voltage is small with respect to the initial charge rate.  

The target voltage is the same per series cell, regardless of age or charge cycles.  So yes, for a battery that is still in fair operating condition, its voltage should be able to be taken to the same target voltage (usually 4.2V).