I got it!
It looks like when I first tried to update DWC through DWC itself, a new DWC-SD folder was created in the www folder and/because it didn't work. Then on the SD card I put all the 2.0.6 files in the new DWC-SD folder what was wrong. That was quite confusing. Emptied the whole www folder and put the 2.0.6 files into it. Now it works.
Thanks!