Yes indeed, i even left my door open, I didn't care that much as I was just enjoying the flight and the crew came by with champagne all the time :-D
The passenger opposite to me was used to flying first class as she was just reading a book the whole flight and left her door closed most of the time.
But I can imagine that this is a bit of an issue if you want privacy as it is a bit awkward to look at the other passenger wondering whether they are drinking Dom or Krug :-D