Well.... I think I have some good news (for myself)

My TV was not picked up by the carrier so I thought I would give it one more try. Another reason was that I've read a lot of complains about other TV brands / types which made me a bit nervous. What also helped was that the TV of 'Eddysoft' will be replaced by the service company so I expect / assume Panasonic provides good service.
This replacement TV was only on for 15 minutes to test the screen for the horizontal bars, no longer. Maybe it was better than my original one? And guess what, it appears to be.
Yes, you can see the bars but mostly with a special test screen. Sometimes it is a bit visible in a normal picture, but you have to look for it. They appear, in this replacement TV, when there is something dark grayish or almost white. And even then you will only see it sometimes. Bright skies, bright colors or 'flat' surfaces don't show the horizontal lines in 95% of the time.
Currently I'm quit happy. The colors are beautiful, the blacks are nicely black, the contrast is super and the screen is uniform. I've only looked at it for 1h or so, so this weekend I will spend more time with it. Hopefully it is good enough and I can keep it; that would be the best thing to do.