All the low cost, low current AA and AAA battery chargers work on the principle of max V termination.
Very little over charging give a great over voltage, for this reason, ever if there is an over charging, it is very reduced and not harmfull for the battery.
Wat harmfull is for the battery, that's to charge it with current as high as 4C...
It's out of specifications of (most or all ?) the battery manufacturers.
It is also an insane loss of energy (It even need a fan to cool the batteries
)
@alxpo: There already exist an implemented battery voltage monitoring, as individual voltage of each cell can be displayed.
It is not necessary to add nothing as hardware.
But Dave has discovered that the displayed voltage is lower than the measured voltage...we should investigate why this happen...?