Yesterday, my Fairphone 3 with /e/ OS installed on it fell down and showed the same colourful noise image. I was unable to fix this by taking out the battery, which is why I followed the advice of multiple people here to take the screen out and clean the golden contact pins with alcohol.
After putting the screen back in, it worked fine again!
I don’t know how long the fix will last but I’m just happy that it works for now and that this happened on a Fairphone, since any other phone could most likely not have been repaired (at least that easily).