Well, no you would most likely be asked to leave or get arrested for being a "wierdo" type... especially if you had a camera
But the idea of a Burkini is that your head and face is covered. Now this ban has been extended to also cover scarfs it seems by the pictures, and that I dont agree on. But the Burkini.. aka Burka, is by definition a full facial cover and that should not be allowed. It is no different than the confederate flag or Nazi swastika.... it is a symbol of oppression.
Now to justify the present ban, terror has been invoked. Now you might not agree on the harshness, and in fact I dont either if the pictures in the example are correct.. she is not wearing a Burka or Burkini.. she is not hiding her face. But look at it this way, France has been hit by terror lately as we all know. So they are extra vigilant against any and all possible threats, and yes a fully covered person is a problem.. they cant easily identify said person in a security check/sweep, so they have put in place these new rules. Is it any different than me not being allowed to have fluids on board a plane or having to take off my shoes? It is an overreaction yes, but we are still having to do those 2 things despite security experts saying it is idiotic..
And lets be real.. it is HOT at the moment in Southern France, so having on all that cloths is .... odd and frankly dangerous as hell if you are in direct sunlight.