Jumping is in no way a necessity, line-of-sight is had by terrain, devoid from jumping, the majority of games don't jump for one reason only, it prevents collisions and stuck errors during gameplay.
Yes and No. Those answers don't quit fit what would be considered.
I would have to say that it would be, to an extent, a certain distance, in other words, and once aggro is lost, health bars are returned, but that is default in games now.