Hoi I have just tried a few different settings (light/dark/colour). After I disconnected the power for a good 20 seconds, the light came back on in the last configuration. However, I don't know how long the "information" is stored in the controller's memory. Hopefully this information is enough for you to make a purchase decision. Greetings Alerter

Nope, the controller only has an infrared interface for the supplied remote control.

Hello, I have the Paulmann 706.73 set (MaxLED RGB Basic Set 3m) 40W / 24V / RGB / 180 leds : the transformer dimensions are: length: 155mm, width: 47mm, height (= thickness): 32 mm

The manufacturer has confirmed that it does.

No, unfortunately not. Only via the remote control.

60 LEDs (RGB & warm white) per metre. Can be shortened every 10cm if required. Luminosity is very good, very nice illumination. Can also be dimmed well (RGB & warm white). I can highly recommend this product.

Yes, "can also be used in damp rooms in combination with a heat-shrinkable sleeve". see link from Paulmann: https://ch.paulmann.com/de/innenleuchten/kuechenleuchten/indirektes-licht/maxled-1000-basisset-3m-warmweiss-beschichtet/70670?fs=3465066336