Anton,
I DM'd you a skp file and screen capture of what happens. It happens with all SKP files no matter how complicated or simple. At first I thought maybe the geometry I was using was too complicated but you can see with that simple file simple draping does not work for me. This file used a quadrilateral grid at 3000 and default settings. I've uninstalled CW and reinstalled it. Versions of my software are:
OSX Mojave Version 10.14.5
sketchup Version 19.2.221
ClothWorks version 1.7.0a