It comes back after a few seconds. For this to work, you have to constantly be moving your mouse around.
Prime on the other hand lets you pause, read and even know about the person in frame and trivia about the movie or tv series being played. They don't have much content but they are way better than Netflix in Ux.
I was going to say the same about Prime, but it's not perfect either.
Their Windows app is terrible. It takes forever to start for some reason. Sometimes, after a few minutes, I just give up and launch the browser. Sometimes if I try to get back 10 seconds it will just freeze playback. I can sometimes get it back by trying to fast-forward around. Others I have to stop watching and start again.
Ah, I essentially live in Netflix, so I was pretty sure you are wrong, but I'm seeing the issue: "mouse"... you are on a computer? No clue how that works ;P. I use their app (on AppleTV and iOS).
I have Netflix on my PS3 and when you pause you only get the noisy overlay after idling for 10 seconds or so. I press UP on the DPAD and it goes away, as UP does nothing if your focus is on the pause/play button. You can do it with SELECT too, it's also a dead key.
I am using a box (Android TV) and was finally able to remove the overlay by pressing the "back" button on my remote. Not exactly obvious, and not what I would call a good User eXperience.