Kreciu: I have two Amiga Scart cables, one I bought recently the same as the AmigaKit one, but neither works (only a black screen) with the $40 AUD Scart to HDMI converter I also bought on ebay. I have a 4K TV so I decided it was a bit much and have opted for VGA instead.
I got my SCART cable also from Amigakit.com AND on one of my Amiga1200 it does not work. I suspect that my RGB output is bad... (didn't have time to see what is exact problem).
So, it can be your Amiga problem. I assume you have not possibility try another Amiga?