I don’t know why this step does not include a major warning about it being by far the most challanging step. I started before reading the comments and most likely screwed my home button with it,

I don’t know if it is a broken cable or if it was too much heat later…but I scratched the cable on the first try with the plectrum. It took lots of heat to soften the adhesive and then it worked WAY better for me to start removing the connector from the near side of the home button. And not, as shown, on the far side.

Wish I had known that before - the homebutton ist not working anymore now (and it’s not the screws).