For a woman to cover or not cover is an personal choice in the majority of muslim countries. ........
In how many muslim countries would the uncovered woman receive a beating?
That doesn't alter the fact that for many women it's a choice, just depends on where they are.
It shows the difference the OP didn't see.
Actually....it shows nothing of the kind. It's shows the false assumptions that are glaring in this thread.
The OP said he couldn't see a difference. I think the beatings is an important difference, don't you?