No, it's more coercive. If I own a bagpack, that means people can't break into my house and beat me up to get my bagpack. If I own a song, that means I can stop anyone else in the world from publicly singing the song at my leisure. One is much more coercive than the other.

Maybe, but property is typically an item, which you can't easily copy. Copyright is for items which are easily copied. So, it not the same. If you download a car it's different than stealing it, because original owner of car still has the car.