Default Fullscreen Apps

What are your opinions on running fullscreen apps? If I run a fullscreen app there is a little trigger at the bottom / right side of the screen, depending on the orientation. I think it is a little annoying, because sometimes I have to touch the far right side of the screen inside the app, and I accidently open to button bar instead.

How are videos handled? If you watch a video in fullscreen, do you still get the little trigger icon at the right side of the screen?