After I measured the power supply / controller, I checked the battery from the remote control. The was also full.
So I looked at my cell phone camera to the infrared LED of the remote control (one sees namely whether it lights up or not) and lo and behold, after I pressed any button on the remote control, the IR-LED lit permanently.
Accordingly, I am assuming that the remote control is defective. And that even though she was not subjected to mechanical stress, and has been used more than 30 times.
LED Stripes and Controller = good,
Remote = bad
Buy rating = "Well, I dunno !!"