The door actually doesn't open with the control. And yes he does teleport when you're looking at him. And he WILL randomly kill you while looking at him.
That's called blinking.
Let me explain:
if the object - the SCP - is in your field of view it will not move, unless...
1) you are blinking
2) there is an object in-between you and the SCP e.g. a person or wall.
3) you have a non default field of view - if you have set your fov beyond the default 90 degrees of course it will move, this is to prevent cheating.