The sling is just for the super etendards. The rafales in the video have the same setup that we do, and there would be no way to connect the harness to our jets.
This brings a history nerd question to mind; maybe the old guys know. What was the story behind the bridle to launch bar/tow link switch? Was there a mishap or series thereof that caused it, or did some engineer just go "hey, this is a better idea?"