My experience with the WF-139 differs slightly. It terminates (light turns green) at around 4.19~4.20V.
However, the charger would continue to trickle charge the cell. Left in the charger for a few hours too long, I had readings as high as 4.35V.
So, I got into the habit of (a) pulling the cells out as soon as the light turned green and (b) installing an electric power timer that limited the potential overcharge, just in case I forget to check on the cells.
I've subsequently picked up a Pila charger and have had no problems with overcharging. Nonetheless, I still go through the same protocol set up for the WF-139. I regard the procedure as my primary safety measure and Pila's circuitry as a backup/failsafe.