I can't say if the particular screen protector I used is any better than the rest - I suspect they're all made in the same factory in China. But, I can tell you that I've had no issues with touch-sensitivity - from typing to action-games. I can also tell you that there IS a very small space between the protector-glass and the actual screen. The short video below shows the reflection moving as I push on the screen protector. But, it doesn't seem to affect it.
[video]http://www.photobert.com/temp/Note7-protector.mp4[/video]
Edit... BTW, screen savers don't actually have to touch the screen - capacitive touchscreen displays rely on the electrical charge in your finger - not in physical touch.
edit 2: After replacing my first Note 7, I purchased an identical screen protector because I didn't think I'd be able to re-use it. But it had touch issues. I ended up putting back my first one back on, and it's fine. The moral of the story is that manufacturing tolerances aren't very good, and it may be pure "luck" that any one protector works as advertised.