I think it's very French, but it's not fair on the women. I find sometimes outings here in France are a bit of a nightmare. As I am no longer as young as I was I need to go more often than usual and France is really lacking in the public loo department - unless you are on a motorway!
When we go on holiday in England it's so easy and the loos are clean, and proper ones, not those horrible holes in the ground. When you have arthritic knees holes in the ground are impossible to straighten up from. And they usually either don't flush properly or you have to run to avoid getting your feet wet!
Another thing about France is if you stop in desperation on the side of the road, anyway with suitable cover is full of pink loo paper flapping about in the breeze. Yuk!