Also, the media mafia in France is particularly strong and French politics are firmly in their pockets, a bit more so than in the rest of the world. Which means that they will hold on to as strict a suppression of free internet as possible, as long as possible.
Don't know about France, but in Germany similar rules were of course introduced for the usual pretend reasons of child porn and terrorism. A short time later, minor crime investigations and then civil matters were added as reasons to access ISP data. So even if the law currently isn't used like that, it very soon will be and that was most probably always the intent. In Germany, accesses for copyright prosecution far outnumbered everything else, serious crime was only ever a very minor amount.