Well it looks that I got in to the game too.
This little devil at direct sunlight it produces 7V.
With reflective sunlight 6-6.5V
I had to remove the battery at my testing about measuring volts.
After testing the battery with my digital battery tester, it shown 100% power at 3.8V (the tester uses always a load depending the battery type)
The voltage looks much higher than the 3.6V, and so yes it is get overcharged all the time, by this simplistic design.
The next test will be to see what it can do about charging the four AAA in my Agilent multimeters.
From the results (current measurements) I will make my mind if it worth to make a personal mini patent,
about keeping this little panel permanently at the top of the meter.
If I succeed I will sale it to Agilent
It is tremendously hard to take a good picture of those OLED's,
the display haves an inner refresh rate and you have to lower down the digital camera speed so come in sync.