Really? No, Obviously I wouldn't want her to keep the bathroom door open. I just don't think a closed bedroom door is ideal. Opinions differ, it doesn't mean DD will rebel or that i'm being controlling. There are other places to place trust and grow independence. There is however such a thing as too much freedom and I don't want to set her up for failure.
A closed bedroom door = too much freedom and being set up for failure?
And while opinions may differ, and you are right that it doesn't mean your dd will rebel, you are absolutely, positively being controling. No differnce of opinion, if you won't allow your dd to close her bedroom door because you feel it gives her too much freedom, you are too controling, period.
And FTR, I was raised an ultra strict, controling parent who did let me have a closed bedroom door. I still rebelled.