You have a very negative view of Muslim women and of Islam in general. I don't believe it is warranted.
This is about Muslim women who choose on their own to cover themselves based on their own cultural practices or faith. We all agree that no one should be forced to cover themselves.... but that is not what we are talking about. These women deserve your respect, not as "controlled girls" who are unable to make decisions for themselves, but as adult women who can choose on their own... even if they don't believe what you believe.
If you want to get a new perspective, start listening to the voices of Muslim women (who choose to be Muslim) and reading what they like. Malala is a good place to start, if you would like... I will find some more reading materials for you. I have the benefit of being in a diverse community with a very eclectic group of friends, I realize that not everyone has this benefit.
If you believe Muslim women ar "trapped" and "conditioned" and "unaware", it's no wonder that you have trouble hearing their voices, or accepting their ability to make decisions for themselves; in this case to choose to wear a burqini.
I believe you are completely wrong about Muslim women.