While searching for errors, I found that the address generated for the rtl.css file is wrong:
Code:
NetworkError: 404 Not Found - http://www.mysite.com/components/com_comprofiler/plugin/templates/default/rtl.css/rtl.css
As you can see, it looks for a folder rtl.css
I set all the overrides by my self a long time ago for the rtl, so I didn't even noticed until today that there a first step ready for right to left...