"owning" generally requires doing something to the other person, such as defeating them in an online shooter Whereas you "mog" simply by being within range of

"owning" generally requires doing something to the other person, such as defeating them in an online shooter Whereas you "mog" simply by being within range of the other person, you don't even have to interact, but a third party can see your natural advantages over that other person, thus "mogging" them.