Sorry for the delayed response, but I didn't have a lot of spare time recently. Here is my final analysis and conclusions.
The two 7-pin DIN cables should be absolutely identical. You can use either cable to connect the pre-amp to the first speaker or the first speaker to the second speaker. They are fully interchangeable. The input jack used on the first speaker determines which channel it will play (left or right). Plug the cable between the speakers into the other channel input on the second speaker.
You need an RCA to DIN adapter to connect the WiiM Ultra to the DIN cable that goes into the first speaker. I'm still sure that you won't find such a thing readily made, so you will either have to make it yourself of have somebody make it for you. The pinout is relatively simple:
View attachment 34341
This image is generated by ChatGPT and it's not exactly
beautiful. But the DIN pinouts are not exactly intuitive anyway, so it's best to strictly adhere to the pin numbering. Use a shielded 2-core cable. The ring (signal ground) of both RCA connectors must be connected to pin 2 on the DIN jack. Ignore pins 6 and 7, wich are for the 30 V control voltage and cannot be used with modern equipment anyway.
You will also have to set the level to -6 dB or -10 dB to make it a good match with the WiiM Ultra's output voltage. Isn't it great how Braun designed this thing in a way so it's still usable today?
And yes, each power cable goes to its own power outlet, of course. If you have a male to female power cord you could also connect just one speaker to a power outlet, but in modern homes it's probably easier to connect each speaker to its own outlet.
The LV 1020 is a real engineering masterpiece. I'd love to see you bring it back to live with your Ultra. Please report back. If you have more questions don't hesitate to contact me.